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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 = 10 2q = 10 Divide each side by '2'. q = 5 Simplifying q = 5
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