8-b=3(b+7)+7

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Solution for 8-b=3(b+7)+7 equation:


Simplifying
8 + -1b = 3(b + 7) + 7

Reorder the terms:
8 + -1b = 3(7 + b) + 7
8 + -1b = (7 * 3 + b * 3) + 7
8 + -1b = (21 + 3b) + 7

Reorder the terms:
8 + -1b = 21 + 7 + 3b

Combine like terms: 21 + 7 = 28
8 + -1b = 28 + 3b

Solving
8 + -1b = 28 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
8 + -1b + -3b = 28 + 3b + -3b

Combine like terms: -1b + -3b = -4b
8 + -4b = 28 + 3b + -3b

Combine like terms: 3b + -3b = 0
8 + -4b = 28 + 0
8 + -4b = 28

Add '-8' to each side of the equation.
8 + -8 + -4b = 28 + -8

Combine like terms: 8 + -8 = 0
0 + -4b = 28 + -8
-4b = 28 + -8

Combine like terms: 28 + -8 = 20
-4b = 20

Divide each side by '-4'.
b = -5

Simplifying
b = -5

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