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Simplifying -3(2q + -5) = 4q + 6 + -1q Reorder the terms: -3(-5 + 2q) = 4q + 6 + -1q (-5 * -3 + 2q * -3) = 4q + 6 + -1q (15 + -6q) = 4q + 6 + -1q Reorder the terms: 15 + -6q = 6 + 4q + -1q Combine like terms: 4q + -1q = 3q 15 + -6q = 6 + 3q Solving 15 + -6q = 6 + 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. 15 + -6q + -3q = 6 + 3q + -3q Combine like terms: -6q + -3q = -9q 15 + -9q = 6 + 3q + -3q Combine like terms: 3q + -3q = 0 15 + -9q = 6 + 0 15 + -9q = 6 Add '-15' to each side of the equation. 15 + -15 + -9q = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -9q = 6 + -15 -9q = 6 + -15 Combine like terms: 6 + -15 = -9 -9q = -9 Divide each side by '-9'. q = 1 Simplifying q = 1
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