7b-2(4b-3)+18=-16

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Solution for 7b-2(4b-3)+18=-16 equation:


Simplifying
7b + -2(4b + -3) + 18 = -16

Reorder the terms:
7b + -2(-3 + 4b) + 18 = -16
7b + (-3 * -2 + 4b * -2) + 18 = -16
7b + (6 + -8b) + 18 = -16

Reorder the terms:
6 + 18 + 7b + -8b = -16

Combine like terms: 6 + 18 = 24
24 + 7b + -8b = -16

Combine like terms: 7b + -8b = -1b
24 + -1b = -16

Solving
24 + -1b = -16

Solving for variable 'b'.

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

Add '-24' to each side of the equation.
24 + -24 + -1b = -16 + -24

Combine like terms: 24 + -24 = 0
0 + -1b = -16 + -24
-1b = -16 + -24

Combine like terms: -16 + -24 = -40
-1b = -40

Divide each side by '-1'.
b = 40

Simplifying
b = 40

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