6(b-2)+2b=7b+3(b-2)

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Solution for 6(b-2)+2b=7b+3(b-2) equation:


Simplifying
6(b + -2) + 2b = 7b + 3(b + -2)

Reorder the terms:
6(-2 + b) + 2b = 7b + 3(b + -2)
(-2 * 6 + b * 6) + 2b = 7b + 3(b + -2)
(-12 + 6b) + 2b = 7b + 3(b + -2)

Combine like terms: 6b + 2b = 8b
-12 + 8b = 7b + 3(b + -2)

Reorder the terms:
-12 + 8b = 7b + 3(-2 + b)
-12 + 8b = 7b + (-2 * 3 + b * 3)
-12 + 8b = 7b + (-6 + 3b)

Reorder the terms:
-12 + 8b = -6 + 7b + 3b

Combine like terms: 7b + 3b = 10b
-12 + 8b = -6 + 10b

Solving
-12 + 8b = -6 + 10b

Solving for variable 'b'.

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

Add '-10b' to each side of the equation.
-12 + 8b + -10b = -6 + 10b + -10b

Combine like terms: 8b + -10b = -2b
-12 + -2b = -6 + 10b + -10b

Combine like terms: 10b + -10b = 0
-12 + -2b = -6 + 0
-12 + -2b = -6

Add '12' to each side of the equation.
-12 + 12 + -2b = -6 + 12

Combine like terms: -12 + 12 = 0
0 + -2b = -6 + 12
-2b = -6 + 12

Combine like terms: -6 + 12 = 6
-2b = 6

Divide each side by '-2'.
b = -3

Simplifying
b = -3

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