-155=-5(7b-7)-3b

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Solution for -155=-5(7b-7)-3b equation:


Simplifying
-155 = -5(7b + -7) + -3b

Reorder the terms:
-155 = -5(-7 + 7b) + -3b
-155 = (-7 * -5 + 7b * -5) + -3b
-155 = (35 + -35b) + -3b

Combine like terms: -35b + -3b = -38b
-155 = 35 + -38b

Solving
-155 = 35 + -38b

Solving for variable 'b'.

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

Add '38b' to each side of the equation.
-155 + 38b = 35 + -38b + 38b

Combine like terms: -38b + 38b = 0
-155 + 38b = 35 + 0
-155 + 38b = 35

Add '155' to each side of the equation.
-155 + 155 + 38b = 35 + 155

Combine like terms: -155 + 155 = 0
0 + 38b = 35 + 155
38b = 35 + 155

Combine like terms: 35 + 155 = 190
38b = 190

Divide each side by '38'.
b = 5

Simplifying
b = 5

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