7b-5(b-6)=4b+6

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Solution for 7b-5(b-6)=4b+6 equation:


Simplifying
7b + -5(b + -6) = 4b + 6

Reorder the terms:
7b + -5(-6 + b) = 4b + 6
7b + (-6 * -5 + b * -5) = 4b + 6
7b + (30 + -5b) = 4b + 6

Reorder the terms:
30 + 7b + -5b = 4b + 6

Combine like terms: 7b + -5b = 2b
30 + 2b = 4b + 6

Reorder the terms:
30 + 2b = 6 + 4b

Solving
30 + 2b = 6 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
30 + 2b + -4b = 6 + 4b + -4b

Combine like terms: 2b + -4b = -2b
30 + -2b = 6 + 4b + -4b

Combine like terms: 4b + -4b = 0
30 + -2b = 6 + 0
30 + -2b = 6

Add '-30' to each side of the equation.
30 + -30 + -2b = 6 + -30

Combine like terms: 30 + -30 = 0
0 + -2b = 6 + -30
-2b = 6 + -30

Combine like terms: 6 + -30 = -24
-2b = -24

Divide each side by '-2'.
b = 12

Simplifying
b = 12

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