7(18b+19)+14b=-7(-7b-6)

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Solution for 7(18b+19)+14b=-7(-7b-6) equation:


Simplifying
7(18b + 19) + 14b = -7(-7b + -6)

Reorder the terms:
7(19 + 18b) + 14b = -7(-7b + -6)
(19 * 7 + 18b * 7) + 14b = -7(-7b + -6)
(133 + 126b) + 14b = -7(-7b + -6)

Combine like terms: 126b + 14b = 140b
133 + 140b = -7(-7b + -6)

Reorder the terms:
133 + 140b = -7(-6 + -7b)
133 + 140b = (-6 * -7 + -7b * -7)
133 + 140b = (42 + 49b)

Solving
133 + 140b = 42 + 49b

Solving for variable 'b'.

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

Add '-49b' to each side of the equation.
133 + 140b + -49b = 42 + 49b + -49b

Combine like terms: 140b + -49b = 91b
133 + 91b = 42 + 49b + -49b

Combine like terms: 49b + -49b = 0
133 + 91b = 42 + 0
133 + 91b = 42

Add '-133' to each side of the equation.
133 + -133 + 91b = 42 + -133

Combine like terms: 133 + -133 = 0
0 + 91b = 42 + -133
91b = 42 + -133

Combine like terms: 42 + -133 = -91
91b = -91

Divide each side by '91'.
b = -1

Simplifying
b = -1

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