-71=2(12+5b)+5(1+3b)

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Solution for -71=2(12+5b)+5(1+3b) equation:


Simplifying
-71 = 2(12 + 5b) + 5(1 + 3b)
-71 = (12 * 2 + 5b * 2) + 5(1 + 3b)
-71 = (24 + 10b) + 5(1 + 3b)
-71 = 24 + 10b + (1 * 5 + 3b * 5)
-71 = 24 + 10b + (5 + 15b)

Reorder the terms:
-71 = 24 + 5 + 10b + 15b

Combine like terms: 24 + 5 = 29
-71 = 29 + 10b + 15b

Combine like terms: 10b + 15b = 25b
-71 = 29 + 25b

Solving
-71 = 29 + 25b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-25b' to each side of the equation.
-71 + -25b = 29 + 25b + -25b

Combine like terms: 25b + -25b = 0
-71 + -25b = 29 + 0
-71 + -25b = 29

Add '71' to each side of the equation.
-71 + 71 + -25b = 29 + 71

Combine like terms: -71 + 71 = 0
0 + -25b = 29 + 71
-25b = 29 + 71

Combine like terms: 29 + 71 = 100
-25b = 100

Divide each side by '-25'.
b = -4

Simplifying
b = -4

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