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Simplifying 6(3 + -1q) + 2 = 38 (3 * 6 + -1q * 6) + 2 = 38 (18 + -6q) + 2 = 38 Reorder the terms: 18 + 2 + -6q = 38 Combine like terms: 18 + 2 = 20 20 + -6q = 38 Solving 20 + -6q = 38 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -6q = 38 + -20 Combine like terms: 20 + -20 = 0 0 + -6q = 38 + -20 -6q = 38 + -20 Combine like terms: 38 + -20 = 18 -6q = 18 Divide each side by '-6'. q = -3 Simplifying q = -3
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