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Simplifying 3(4q + -6) = 78 Reorder the terms: 3(-6 + 4q) = 78 (-6 * 3 + 4q * 3) = 78 (-18 + 12q) = 78 Solving -18 + 12q = 78 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 12q = 78 + 18 Combine like terms: -18 + 18 = 0 0 + 12q = 78 + 18 12q = 78 + 18 Combine like terms: 78 + 18 = 96 12q = 96 Divide each side by '12'. q = 8 Simplifying q = 8
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