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