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Simplifying 6(4 + -3q) + -2(q + 1) = 3(1 + -1q) (4 * 6 + -3q * 6) + -2(q + 1) = 3(1 + -1q) (24 + -18q) + -2(q + 1) = 3(1 + -1q) Reorder the terms: 24 + -18q + -2(1 + q) = 3(1 + -1q) 24 + -18q + (1 * -2 + q * -2) = 3(1 + -1q) 24 + -18q + (-2 + -2q) = 3(1 + -1q) Reorder the terms: 24 + -2 + -18q + -2q = 3(1 + -1q) Combine like terms: 24 + -2 = 22 22 + -18q + -2q = 3(1 + -1q) Combine like terms: -18q + -2q = -20q 22 + -20q = 3(1 + -1q) 22 + -20q = (1 * 3 + -1q * 3) 22 + -20q = (3 + -3q) Solving 22 + -20q = 3 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 22 + -20q + 3q = 3 + -3q + 3q Combine like terms: -20q + 3q = -17q 22 + -17q = 3 + -3q + 3q Combine like terms: -3q + 3q = 0 22 + -17q = 3 + 0 22 + -17q = 3 Add '-22' to each side of the equation. 22 + -22 + -17q = 3 + -22 Combine like terms: 22 + -22 = 0 0 + -17q = 3 + -22 -17q = 3 + -22 Combine like terms: 3 + -22 = -19 -17q = -19 Divide each side by '-17'. q = 1.117647059 Simplifying q = 1.117647059
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