13-3b=5(7b-5)

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Solution for 13-3b=5(7b-5) equation:


Simplifying
13 + -3b = 5(7b + -5)

Reorder the terms:
13 + -3b = 5(-5 + 7b)
13 + -3b = (-5 * 5 + 7b * 5)
13 + -3b = (-25 + 35b)

Solving
13 + -3b = -25 + 35b

Solving for variable 'b'.

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

Add '-35b' to each side of the equation.
13 + -3b + -35b = -25 + 35b + -35b

Combine like terms: -3b + -35b = -38b
13 + -38b = -25 + 35b + -35b

Combine like terms: 35b + -35b = 0
13 + -38b = -25 + 0
13 + -38b = -25

Add '-13' to each side of the equation.
13 + -13 + -38b = -25 + -13

Combine like terms: 13 + -13 = 0
0 + -38b = -25 + -13
-38b = -25 + -13

Combine like terms: -25 + -13 = -38
-38b = -38

Divide each side by '-38'.
b = 1

Simplifying
b = 1

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