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Simplifying -3q + 10 = 2q + -5 + -5 Reorder the terms: 10 + -3q = 2q + -5 + -5 Reorder the terms: 10 + -3q = -5 + -5 + 2q Combine like terms: -5 + -5 = -10 10 + -3q = -10 + 2q Solving 10 + -3q = -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. 10 + -3q + -2q = -10 + 2q + -2q Combine like terms: -3q + -2q = -5q 10 + -5q = -10 + 2q + -2q Combine like terms: 2q + -2q = 0 10 + -5q = -10 + 0 10 + -5q = -10 Add '-10' to each side of the equation. 10 + -10 + -5q = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -5q = -10 + -10 -5q = -10 + -10 Combine like terms: -10 + -10 = -20 -5q = -20 Divide each side by '-5'. q = 4 Simplifying q = 4
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