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Simplifying 6(3 + -1q) = -4(q + 1) (3 * 6 + -1q * 6) = -4(q + 1) (18 + -6q) = -4(q + 1) Reorder the terms: 18 + -6q = -4(1 + q) 18 + -6q = (1 * -4 + q * -4) 18 + -6q = (-4 + -4q) Solving 18 + -6q = -4 + -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 = -4 + -4q + 4q Combine like terms: -6q + 4q = -2q 18 + -2q = -4 + -4q + 4q Combine like terms: -4q + 4q = 0 18 + -2q = -4 + 0 18 + -2q = -4 Add '-18' to each side of the equation. 18 + -18 + -2q = -4 + -18 Combine like terms: 18 + -18 = 0 0 + -2q = -4 + -18 -2q = -4 + -18 Combine like terms: -4 + -18 = -22 -2q = -22 Divide each side by '-2'. q = 11 Simplifying q = 11
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