7(b+8)-3b=-2b+14

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Solution for 7(b+8)-3b=-2b+14 equation:


Simplifying
7(b + 8) + -3b = -2b + 14

Reorder the terms:
7(8 + b) + -3b = -2b + 14
(8 * 7 + b * 7) + -3b = -2b + 14
(56 + 7b) + -3b = -2b + 14

Combine like terms: 7b + -3b = 4b
56 + 4b = -2b + 14

Reorder the terms:
56 + 4b = 14 + -2b

Solving
56 + 4b = 14 + -2b

Solving for variable 'b'.

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

Add '2b' to each side of the equation.
56 + 4b + 2b = 14 + -2b + 2b

Combine like terms: 4b + 2b = 6b
56 + 6b = 14 + -2b + 2b

Combine like terms: -2b + 2b = 0
56 + 6b = 14 + 0
56 + 6b = 14

Add '-56' to each side of the equation.
56 + -56 + 6b = 14 + -56

Combine like terms: 56 + -56 = 0
0 + 6b = 14 + -56
6b = 14 + -56

Combine like terms: 14 + -56 = -42
6b = -42

Divide each side by '6'.
b = -7

Simplifying
b = -7

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