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Simplifying 5q + -3(q + -6) = 5q Reorder the terms: 5q + -3(-6 + q) = 5q 5q + (-6 * -3 + q * -3) = 5q 5q + (18 + -3q) = 5q Reorder the terms: 18 + 5q + -3q = 5q Combine like terms: 5q + -3q = 2q 18 + 2q = 5q Solving 18 + 2q = 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. 18 + 2q + -5q = 5q + -5q Combine like terms: 2q + -5q = -3q 18 + -3q = 5q + -5q Combine like terms: 5q + -5q = 0 18 + -3q = 0 Add '-18' to each side of the equation. 18 + -18 + -3q = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -3q = 0 + -18 -3q = 0 + -18 Combine like terms: 0 + -18 = -18 -3q = -18 Divide each side by '-3'. q = 6 Simplifying q = 6
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