6(b+5)=-3(b-7)

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Solution for 6(b+5)=-3(b-7) equation:


Simplifying
6(b + 5) = -3(b + -7)

Reorder the terms:
6(5 + b) = -3(b + -7)
(5 * 6 + b * 6) = -3(b + -7)
(30 + 6b) = -3(b + -7)

Reorder the terms:
30 + 6b = -3(-7 + b)
30 + 6b = (-7 * -3 + b * -3)
30 + 6b = (21 + -3b)

Solving
30 + 6b = 21 + -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.
30 + 6b + 3b = 21 + -3b + 3b

Combine like terms: 6b + 3b = 9b
30 + 9b = 21 + -3b + 3b

Combine like terms: -3b + 3b = 0
30 + 9b = 21 + 0
30 + 9b = 21

Add '-30' to each side of the equation.
30 + -30 + 9b = 21 + -30

Combine like terms: 30 + -30 = 0
0 + 9b = 21 + -30
9b = 21 + -30

Combine like terms: 21 + -30 = -9
9b = -9

Divide each side by '9'.
b = -1

Simplifying
b = -1

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