7-3(5b+8)+2(4+b)=-16

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Solution for 7-3(5b+8)+2(4+b)=-16 equation: 


Simplifying
7 + -3(5b + 8) + 2(4 + b) = -16

Reorder the terms:
7 + -3(8 + 5b) + 2(4 + b) = -16
7 + (8 * -3 + 5b * -3) + 2(4 + b) = -16
7 + (-24 + -15b) + 2(4 + b) = -16
7 + -24 + -15b + (4 * 2 + b * 2) = -16
7 + -24 + -15b + (8 + 2b) = -16

Reorder the terms:
7 + -24 + 8 + -15b + 2b = -16

Combine like terms: 7 + -24 = -17
-17 + 8 + -15b + 2b = -16

Combine like terms: -17 + 8 = -9
-9 + -15b + 2b = -16

Combine like terms: -15b + 2b = -13b
-9 + -13b = -16

Solving
-9 + -13b = -16

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + -13b = -16 + 9

Combine like terms: -9 + 9 = 0
0 + -13b = -16 + 9
-13b = -16 + 9

Combine like terms: -16 + 9 = -7
-13b = -7

Divide each side by '-13'.
b = 0.5384615385

Simplifying
b = 0.5384615385

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