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