8b+7=3(3b-1)

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Solution for 8b+7=3(3b-1) equation:


Simplifying
8b + 7 = 3(3b + -1)

Reorder the terms:
7 + 8b = 3(3b + -1)

Reorder the terms:
7 + 8b = 3(-1 + 3b)
7 + 8b = (-1 * 3 + 3b * 3)
7 + 8b = (-3 + 9b)

Solving
7 + 8b = -3 + 9b

Solving for variable 'b'.

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

Add '-9b' to each side of the equation.
7 + 8b + -9b = -3 + 9b + -9b

Combine like terms: 8b + -9b = -1b
7 + -1b = -3 + 9b + -9b

Combine like terms: 9b + -9b = 0
7 + -1b = -3 + 0
7 + -1b = -3

Add '-7' to each side of the equation.
7 + -7 + -1b = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -1b = -3 + -7
-1b = -3 + -7

Combine like terms: -3 + -7 = -10
-1b = -10

Divide each side by '-1'.
b = 10

Simplifying
b = 10

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