7(2b+4)-8=-2(5-6b)

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Solution for 7(2b+4)-8=-2(5-6b) equation:


Simplifying
7(2b + 4) + -8 = -2(5 + -6b)

Reorder the terms:
7(4 + 2b) + -8 = -2(5 + -6b)
(4 * 7 + 2b * 7) + -8 = -2(5 + -6b)
(28 + 14b) + -8 = -2(5 + -6b)

Reorder the terms:
28 + -8 + 14b = -2(5 + -6b)

Combine like terms: 28 + -8 = 20
20 + 14b = -2(5 + -6b)
20 + 14b = (5 * -2 + -6b * -2)
20 + 14b = (-10 + 12b)

Solving
20 + 14b = -10 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
20 + 14b + -12b = -10 + 12b + -12b

Combine like terms: 14b + -12b = 2b
20 + 2b = -10 + 12b + -12b

Combine like terms: 12b + -12b = 0
20 + 2b = -10 + 0
20 + 2b = -10

Add '-20' to each side of the equation.
20 + -20 + 2b = -10 + -20

Combine like terms: 20 + -20 = 0
0 + 2b = -10 + -20
2b = -10 + -20

Combine like terms: -10 + -20 = -30
2b = -30

Divide each side by '2'.
b = -15

Simplifying
b = -15

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