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Simplifying 4(q + 1) + 2 = 3q + -4 Reorder the terms: 4(1 + q) + 2 = 3q + -4 (1 * 4 + q * 4) + 2 = 3q + -4 (4 + 4q) + 2 = 3q + -4 Reorder the terms: 4 + 2 + 4q = 3q + -4 Combine like terms: 4 + 2 = 6 6 + 4q = 3q + -4 Reorder the terms: 6 + 4q = -4 + 3q Solving 6 + 4q = -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. 6 + 4q + -3q = -4 + 3q + -3q Combine like terms: 4q + -3q = 1q 6 + 1q = -4 + 3q + -3q Combine like terms: 3q + -3q = 0 6 + 1q = -4 + 0 6 + 1q = -4 Add '-6' to each side of the equation. 6 + -6 + 1q = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 1q = -4 + -6 1q = -4 + -6 Combine like terms: -4 + -6 = -10 1q = -10 Divide each side by '1'. q = -10 Simplifying q = -10
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