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Simplifying 5q + 10 = 3q + 2 Reorder the terms: 10 + 5q = 3q + 2 Reorder the terms: 10 + 5q = 2 + 3q Solving 10 + 5q = 2 + 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. 10 + 5q + -3q = 2 + 3q + -3q Combine like terms: 5q + -3q = 2q 10 + 2q = 2 + 3q + -3q Combine like terms: 3q + -3q = 0 10 + 2q = 2 + 0 10 + 2q = 2 Add '-10' to each side of the equation. 10 + -10 + 2q = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 2q = 2 + -10 2q = 2 + -10 Combine like terms: 2 + -10 = -8 2q = -8 Divide each side by '2'. q = -4 Simplifying q = -4
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