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Simplifying 6q + 15 = q + -6 + 8q Reorder the terms: 15 + 6q = q + -6 + 8q Reorder the terms: 15 + 6q = -6 + q + 8q Combine like terms: q + 8q = 9q 15 + 6q = -6 + 9q Solving 15 + 6q = -6 + 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. 15 + 6q + -9q = -6 + 9q + -9q Combine like terms: 6q + -9q = -3q 15 + -3q = -6 + 9q + -9q Combine like terms: 9q + -9q = 0 15 + -3q = -6 + 0 15 + -3q = -6 Add '-15' to each side of the equation. 15 + -15 + -3q = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -3q = -6 + -15 -3q = -6 + -15 Combine like terms: -6 + -15 = -21 -3q = -21 Divide each side by '-3'. q = 7 Simplifying q = 7
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