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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 = 10q -18 + 10q = -8 + -4q + 4q Combine like terms: -4q + 4q = 0 -18 + 10q = -8 + 0 -18 + 10q = -8 Add '18' to each side of the equation. -18 + 18 + 10q = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 10q = -8 + 18 10q = -8 + 18 Combine like terms: -8 + 18 = 10 10q = 10 Divide each side by '10'. q = 1 Simplifying q = 1
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