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Simplifying 9 = 6(q + -6) Reorder the terms: 9 = 6(-6 + q) 9 = (-6 * 6 + q * 6) 9 = (-36 + 6q) Solving 9 = -36 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 9 + -6q = -36 + 6q + -6q Combine like terms: 6q + -6q = 0 9 + -6q = -36 + 0 9 + -6q = -36 Add '-9' to each side of the equation. 9 + -9 + -6q = -36 + -9 Combine like terms: 9 + -9 = 0 0 + -6q = -36 + -9 -6q = -36 + -9 Combine like terms: -36 + -9 = -45 -6q = -45 Divide each side by '-6'. q = 7.5 Simplifying q = 7.5
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