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Simplifying -7q + -10 + 2q = 10 + 5q Reorder the terms: -10 + -7q + 2q = 10 + 5q Combine like terms: -7q + 2q = -5q -10 + -5q = 10 + 5q Solving -10 + -5q = 10 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. -10 + -5q + -5q = 10 + 5q + -5q Combine like terms: -5q + -5q = -10q -10 + -10q = 10 + 5q + -5q Combine like terms: 5q + -5q = 0 -10 + -10q = 10 + 0 -10 + -10q = 10 Add '10' to each side of the equation. -10 + 10 + -10q = 10 + 10 Combine like terms: -10 + 10 = 0 0 + -10q = 10 + 10 -10q = 10 + 10 Combine like terms: 10 + 10 = 20 -10q = 20 Divide each side by '-10'. q = -2 Simplifying q = -2
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