2b+7(b-4)=-91

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Solution for 2b+7(b-4)=-91 equation:


Simplifying
2b + 7(b + -4) = -91

Reorder the terms:
2b + 7(-4 + b) = -91
2b + (-4 * 7 + b * 7) = -91
2b + (-28 + 7b) = -91

Reorder the terms:
-28 + 2b + 7b = -91

Combine like terms: 2b + 7b = 9b
-28 + 9b = -91

Solving
-28 + 9b = -91

Solving for variable 'b'.

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

Add '28' to each side of the equation.
-28 + 28 + 9b = -91 + 28

Combine like terms: -28 + 28 = 0
0 + 9b = -91 + 28
9b = -91 + 28

Combine like terms: -91 + 28 = -63
9b = -63

Divide each side by '9'.
b = -7

Simplifying
b = -7

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