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Simplifying 3(2q + -1) + 5 = 2 + -1(q + -14) Reorder the terms: 3(-1 + 2q) + 5 = 2 + -1(q + -14) (-1 * 3 + 2q * 3) + 5 = 2 + -1(q + -14) (-3 + 6q) + 5 = 2 + -1(q + -14) Reorder the terms: -3 + 5 + 6q = 2 + -1(q + -14) Combine like terms: -3 + 5 = 2 2 + 6q = 2 + -1(q + -14) Reorder the terms: 2 + 6q = 2 + -1(-14 + q) 2 + 6q = 2 + (-14 * -1 + q * -1) 2 + 6q = 2 + (14 + -1q) Combine like terms: 2 + 14 = 16 2 + 6q = 16 + -1q Solving 2 + 6q = 16 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 2 + 6q + q = 16 + -1q + q Combine like terms: 6q + q = 7q 2 + 7q = 16 + -1q + q Combine like terms: -1q + q = 0 2 + 7q = 16 + 0 2 + 7q = 16 Add '-2' to each side of the equation. 2 + -2 + 7q = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 7q = 16 + -2 7q = 16 + -2 Combine like terms: 16 + -2 = 14 7q = 14 Divide each side by '7'. q = 2 Simplifying q = 2
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