-6(1+3b)-6b=2(7-5b)+6b

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Solution for -6(1+3b)-6b=2(7-5b)+6b equation:


Simplifying
-6(1 + 3b) + -6b = 2(7 + -5b) + 6b
(1 * -6 + 3b * -6) + -6b = 2(7 + -5b) + 6b
(-6 + -18b) + -6b = 2(7 + -5b) + 6b

Combine like terms: -18b + -6b = -24b
-6 + -24b = 2(7 + -5b) + 6b
-6 + -24b = (7 * 2 + -5b * 2) + 6b
-6 + -24b = (14 + -10b) + 6b

Combine like terms: -10b + 6b = -4b
-6 + -24b = 14 + -4b

Solving
-6 + -24b = 14 + -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.
-6 + -24b + 4b = 14 + -4b + 4b

Combine like terms: -24b + 4b = -20b
-6 + -20b = 14 + -4b + 4b

Combine like terms: -4b + 4b = 0
-6 + -20b = 14 + 0
-6 + -20b = 14

Add '6' to each side of the equation.
-6 + 6 + -20b = 14 + 6

Combine like terms: -6 + 6 = 0
0 + -20b = 14 + 6
-20b = 14 + 6

Combine like terms: 14 + 6 = 20
-20b = 20

Divide each side by '-20'.
b = -1

Simplifying
b = -1

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