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Simplifying 2(q + 42) + -8 = -2 Reorder the terms: 2(42 + q) + -8 = -2 (42 * 2 + q * 2) + -8 = -2 (84 + 2q) + -8 = -2 Reorder the terms: 84 + -8 + 2q = -2 Combine like terms: 84 + -8 = 76 76 + 2q = -2 Solving 76 + 2q = -2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 2q = -2 + -76 Combine like terms: 76 + -76 = 0 0 + 2q = -2 + -76 2q = -2 + -76 Combine like terms: -2 + -76 = -78 2q = -78 Divide each side by '2'. q = -39 Simplifying q = -39
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