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Simplifying 5 + 7q = -10 + 2q Solving 5 + 7q = -10 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 5 + 7q + -2q = -10 + 2q + -2q Combine like terms: 7q + -2q = 5q 5 + 5q = -10 + 2q + -2q Combine like terms: 2q + -2q = 0 5 + 5q = -10 + 0 5 + 5q = -10 Add '-5' to each side of the equation. 5 + -5 + 5q = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 5q = -10 + -5 5q = -10 + -5 Combine like terms: -10 + -5 = -15 5q = -15 Divide each side by '5'. q = -3 Simplifying q = -3
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