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Simplifying 2(3q + 6) = 8 Reorder the terms: 2(6 + 3q) = 8 (6 * 2 + 3q * 2) = 8 (12 + 6q) = 8 Solving 12 + 6q = 8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6q = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 6q = 8 + -12 6q = 8 + -12 Combine like terms: 8 + -12 = -4 6q = -4 Divide each side by '6'. q = -0.6666666667 Simplifying q = -0.6666666667
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