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Simplifying 6(q + -3) = 17 + -1q Reorder the terms: 6(-3 + q) = 17 + -1q (-3 * 6 + q * 6) = 17 + -1q (-18 + 6q) = 17 + -1q Solving -18 + 6q = 17 + -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. -18 + 6q + q = 17 + -1q + q Combine like terms: 6q + q = 7q -18 + 7q = 17 + -1q + q Combine like terms: -1q + q = 0 -18 + 7q = 17 + 0 -18 + 7q = 17 Add '18' to each side of the equation. -18 + 18 + 7q = 17 + 18 Combine like terms: -18 + 18 = 0 0 + 7q = 17 + 18 7q = 17 + 18 Combine like terms: 17 + 18 = 35 7q = 35 Divide each side by '7'. q = 5 Simplifying q = 5
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