-2(7q+3)=-2(-8-4q)+4q

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Solution for -2(7q+3)=-2(-8-4q)+4q equation:


Simplifying
-2(7q + 3) = -2(-8 + -4q) + 4q

Reorder the terms:
-2(3 + 7q) = -2(-8 + -4q) + 4q
(3 * -2 + 7q * -2) = -2(-8 + -4q) + 4q
(-6 + -14q) = -2(-8 + -4q) + 4q
-6 + -14q = (-8 * -2 + -4q * -2) + 4q
-6 + -14q = (16 + 8q) + 4q

Combine like terms: 8q + 4q = 12q
-6 + -14q = 16 + 12q

Solving
-6 + -14q = 16 + 12q

Solving for variable 'q'.

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

Add '-12q' to each side of the equation.
-6 + -14q + -12q = 16 + 12q + -12q

Combine like terms: -14q + -12q = -26q
-6 + -26q = 16 + 12q + -12q

Combine like terms: 12q + -12q = 0
-6 + -26q = 16 + 0
-6 + -26q = 16

Add '6' to each side of the equation.
-6 + 6 + -26q = 16 + 6

Combine like terms: -6 + 6 = 0
0 + -26q = 16 + 6
-26q = 16 + 6

Combine like terms: 16 + 6 = 22
-26q = 22

Divide each side by '-26'.
q = -0.8461538462

Simplifying
q = -0.8461538462

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