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Simplifying 7q + 5 + -2q + -8 = 3q + -7 Reorder the terms: 5 + -8 + 7q + -2q = 3q + -7 Combine like terms: 5 + -8 = -3 -3 + 7q + -2q = 3q + -7 Combine like terms: 7q + -2q = 5q -3 + 5q = 3q + -7 Reorder the terms: -3 + 5q = -7 + 3q Solving -3 + 5q = -7 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -3 + 5q + -3q = -7 + 3q + -3q Combine like terms: 5q + -3q = 2q -3 + 2q = -7 + 3q + -3q Combine like terms: 3q + -3q = 0 -3 + 2q = -7 + 0 -3 + 2q = -7 Add '3' to each side of the equation. -3 + 3 + 2q = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 2q = -7 + 3 2q = -7 + 3 Combine like terms: -7 + 3 = -4 2q = -4 Divide each side by '2'. q = -2 Simplifying q = -2
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