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Simplifying 6(q + -3) = 4(q + 2) Reorder the terms: 6(-3 + q) = 4(q + 2) (-3 * 6 + q * 6) = 4(q + 2) (-18 + 6q) = 4(q + 2) Reorder the terms: -18 + 6q = 4(2 + q) -18 + 6q = (2 * 4 + q * 4) -18 + 6q = (8 + 4q) Solving -18 + 6q = 8 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -18 + 6q + -4q = 8 + 4q + -4q Combine like terms: 6q + -4q = 2q -18 + 2q = 8 + 4q + -4q Combine like terms: 4q + -4q = 0 -18 + 2q = 8 + 0 -18 + 2q = 8 Add '18' to each side of the equation. -18 + 18 + 2q = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 2q = 8 + 18 2q = 8 + 18 Combine like terms: 8 + 18 = 26 2q = 26 Divide each side by '2'. q = 13 Simplifying q = 13
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