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Simplifying 5q + -2 = 2q + 10 Reorder the terms: -2 + 5q = 2q + 10 Reorder the terms: -2 + 5q = 10 + 2q Solving -2 + 5q = 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. -2 + 5q + -2q = 10 + 2q + -2q Combine like terms: 5q + -2q = 3q -2 + 3q = 10 + 2q + -2q Combine like terms: 2q + -2q = 0 -2 + 3q = 10 + 0 -2 + 3q = 10 Add '2' to each side of the equation. -2 + 2 + 3q = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 3q = 10 + 2 3q = 10 + 2 Combine like terms: 10 + 2 = 12 3q = 12 Divide each side by '3'. q = 4 Simplifying q = 4
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