>>16162542Simplifying
464 = ((((31 + (2b) + ((252) * 0.25) + 0) * 100) * 0.01) + 5) * 1.1
Multiply 252 * 0.25
464 = ((((31 + (2b) + (63) + 0) * 100) * 0.01) + 5) * 1.1
464 = ((((31 + (2b) + 63 + 0) * 100) * 0.01) + 5) * 1.1
Reorder the terms:
464 = ((((31 + 63 + 0 + (2b)) * 100) * 0.01) + 5) * 1.1
Combine like terms: 31 + 63 = 94
464 = ((((94 + 0 + (2b)) * 100) * 0.01) + 5) * 1.1
Combine like terms: 94 + 0 = 94
464 = ((((94 + (2b)) * 100) * 0.01) + 5) * 1.1
Reorder the terms for easier multiplication:
464 = (((100(94 + (2b))) * 0.01) + 5) * 1.1
464 = ((((94 * 100 + (2b) * 100)) * 0.01) + 5) * 1.1
464 = ((((9400 + 200b)) * 0.01) + 5) * 1.1
Reorder the terms for easier multiplication:
464 = ((0.01(9400 + 200b)) + 5) * 1.1
464 = (((9400 * 0.01 + 200b * 0.01)) + 5) * 1.1
464 = (((94 + 2b)) + 5) * 1.1
464 = ((94 + 2b) + 5) * 1.1
Remove parenthesis around (94 + 2b)
464 = (94 + 2b + 5) * 1.1
Reorder the terms:
464 = (94 + 5 + 2b) * 1.1
Combine like terms: 94 + 5 = 99
464 = (99 + 2b) * 1.1
Reorder the terms for easier multiplication:
464 = 1.1(99 + 2b)
464 = (99 * 1.1 + 2b * 1.1)
464 = (108.9 + 2.2b)
Solving
464 = 108.9 + 2.2b
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '-2.2b' to each side of the equation.
464 + -2.2b = 108.9 + 2.2b + -2.2b
Combine like terms: 2.2b + -2.2b = 0.0
464 + -2.2b = 108.9 + 0.0
464 + -2.2b = 108.9
Add '-464' to each side of the equation.
464 + -464 + -2.2b = 108.9 + -464
Combine like terms: 464 + -464 = 0
0 + -2.2b = 108.9 + -464
-2.2b = 108.9 + -464
Combine like terms: 108.9 + -464 = -355.1
-2.2b = -355.1
Divide each side by '-2.2'.
b = 161.4090909
Simplifying
b = 161.4090909
