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Simplifying 2(q + -3) = 6(q + 3) Reorder the terms: 2(-3 + q) = 6(q + 3) (-3 * 2 + q * 2) = 6(q + 3) (-6 + 2q) = 6(q + 3) Reorder the terms: -6 + 2q = 6(3 + q) -6 + 2q = (3 * 6 + q * 6) -6 + 2q = (18 + 6q) Solving -6 + 2q = 18 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -6 + 2q + -6q = 18 + 6q + -6q Combine like terms: 2q + -6q = -4q -6 + -4q = 18 + 6q + -6q Combine like terms: 6q + -6q = 0 -6 + -4q = 18 + 0 -6 + -4q = 18 Add '6' to each side of the equation. -6 + 6 + -4q = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -4q = 18 + 6 -4q = 18 + 6 Combine like terms: 18 + 6 = 24 -4q = 24 Divide each side by '-4'. q = -6 Simplifying q = -6
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