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Simplifying 6(6q + 8) + -12 = 42 Reorder the terms: 6(8 + 6q) + -12 = 42 (8 * 6 + 6q * 6) + -12 = 42 (48 + 36q) + -12 = 42 Reorder the terms: 48 + -12 + 36q = 42 Combine like terms: 48 + -12 = 36 36 + 36q = 42 Solving 36 + 36q = 42 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 36q = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 36q = 42 + -36 36q = 42 + -36 Combine like terms: 42 + -36 = 6 36q = 6 Divide each side by '36'. q = 0.1666666667 Simplifying q = 0.1666666667
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