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Simplifying 8q + -4(2 + -4q) = -12 8q + (2 * -4 + -4q * -4) = -12 8q + (-8 + 16q) = -12 Reorder the terms: -8 + 8q + 16q = -12 Combine like terms: 8q + 16q = 24q -8 + 24q = -12 Solving -8 + 24q = -12 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. 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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