6b+7=8b-13

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Solution for 6b+7=8b-13 equation:


Simplifying
6b + 7 = 8b + -13

Reorder the terms:
7 + 6b = 8b + -13

Reorder the terms:
7 + 6b = -13 + 8b

Solving
7 + 6b = -13 + 8b

Solving for variable 'b'.

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

Add '-8b' to each side of the equation.
7 + 6b + -8b = -13 + 8b + -8b

Combine like terms: 6b + -8b = -2b
7 + -2b = -13 + 8b + -8b

Combine like terms: 8b + -8b = 0
7 + -2b = -13 + 0
7 + -2b = -13

Add '-7' to each side of the equation.
7 + -7 + -2b = -13 + -7

Combine like terms: 7 + -7 = 0
0 + -2b = -13 + -7
-2b = -13 + -7

Combine like terms: -13 + -7 = -20
-2b = -20

Divide each side by '-2'.
b = 10

Simplifying
b = 10

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