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Simplifying -3(3q + 4) = 6q + -12 Reorder the terms: -3(4 + 3q) = 6q + -12 (4 * -3 + 3q * -3) = 6q + -12 (-12 + -9q) = 6q + -12 Reorder the terms: -12 + -9q = -12 + 6q Add '12' to each side of the equation. -12 + 12 + -9q = -12 + 12 + 6q Combine like terms: -12 + 12 = 0 0 + -9q = -12 + 12 + 6q -9q = -12 + 12 + 6q Combine like terms: -12 + 12 = 0 -9q = 0 + 6q -9q = 6q Solving -9q = 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -9q + -6q = 6q + -6q Combine like terms: -9q + -6q = -15q -15q = 6q + -6q Combine like terms: 6q + -6q = 0 -15q = 0 Divide each side by '-15'. q = 0 Simplifying q = 0
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