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Simplifying 4(2q + -3) = 3(q + 1) Reorder the terms: 4(-3 + 2q) = 3(q + 1) (-3 * 4 + 2q * 4) = 3(q + 1) (-12 + 8q) = 3(q + 1) Reorder the terms: -12 + 8q = 3(1 + q) -12 + 8q = (1 * 3 + q * 3) -12 + 8q = (3 + 3q) Solving -12 + 8q = 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. -12 + 8q + -3q = 3 + 3q + -3q Combine like terms: 8q + -3q = 5q -12 + 5q = 3 + 3q + -3q Combine like terms: 3q + -3q = 0 -12 + 5q = 3 + 0 -12 + 5q = 3 Add '12' to each side of the equation. -12 + 12 + 5q = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 5q = 3 + 12 5q = 3 + 12 Combine like terms: 3 + 12 = 15 5q = 15 Divide each side by '5'. q = 3 Simplifying q = 3
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