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Simplifying 3q + -2 = 5q + 10 Reorder the terms: -2 + 3q = 5q + 10 Reorder the terms: -2 + 3q = 10 + 5q Solving -2 + 3q = 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. -2 + 3q + -5q = 10 + 5q + -5q Combine like terms: 3q + -5q = -2q -2 + -2q = 10 + 5q + -5q Combine like terms: 5q + -5q = 0 -2 + -2q = 10 + 0 -2 + -2q = 10 Add '2' to each side of the equation. -2 + 2 + -2q = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -2q = 10 + 2 -2q = 10 + 2 Combine like terms: 10 + 2 = 12 -2q = 12 Divide each side by '-2'. q = -6 Simplifying q = -6
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