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Simplifying -2(-2q + -16) = -12q Reorder the terms: -2(-16 + -2q) = -12q (-16 * -2 + -2q * -2) = -12q (32 + 4q) = -12q Solving 32 + 4q = -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. 32 + 4q + 12q = -12q + 12q Combine like terms: 4q + 12q = 16q 32 + 16q = -12q + 12q Combine like terms: -12q + 12q = 0 32 + 16q = 0 Add '-32' to each side of the equation. 32 + -32 + 16q = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 16q = 0 + -32 16q = 0 + -32 Combine like terms: 0 + -32 = -32 16q = -32 Divide each side by '16'. q = -2 Simplifying q = -2
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