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Simplifying -4(2 + -4q) = -12 + -8q (2 * -4 + -4q * -4) = -12 + -8q (-8 + 16q) = -12 + -8q Solving -8 + 16q = -12 + -8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8q' to each side of the equation. -8 + 16q + 8q = -12 + -8q + 8q Combine like terms: 16q + 8q = 24q -8 + 24q = -12 + -8q + 8q Combine like terms: -8q + 8q = 0 -8 + 24q = -12 + 0 -8 + 24q = -12 Add '8' to each side of the equation. -8 + 8 + 24q = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 24q = -12 + 8 24q = -12 + 8 Combine like terms: -12 + 8 = -4 24q = -4 Divide each side by '24'. q = -0.1666666667 Simplifying q = -0.1666666667
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