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Simplifying (29 + 3) + -1(-49 + 5) + (6q + -7) = 0 Combine like terms: 29 + 3 = 32 (32) + -1(-49 + 5) + (6q + -7) = 0 32 + -1(-49 + 5) + (6q + -7) = 0 Combine like terms: -49 + 5 = -44 32 + -1(-44) + (6q + -7) = 0 Multiply -1 * -44 32 + 44 + (6q + -7) = 0 Reorder the terms: 32 + 44 + (-7 + 6q) = 0 Remove parenthesis around (-7 + 6q) 32 + 44 + -7 + 6q = 0 Combine like terms: 32 + 44 = 76 76 + -7 + 6q = 0 Combine like terms: 76 + -7 = 69 69 + 6q = 0 Solving 69 + 6q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-69' to each side of the equation. 69 + -69 + 6q = 0 + -69 Combine like terms: 69 + -69 = 0 0 + 6q = 0 + -69 6q = 0 + -69 Combine like terms: 0 + -69 = -69 6q = -69 Divide each side by '6'. q = -11.5 Simplifying q = -11.5
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