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Simplifying -63 = 9(q + -5) Reorder the terms: -63 = 9(-5 + q) -63 = (-5 * 9 + q * 9) -63 = (-45 + 9q) Solving -63 = -45 + 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. -63 + -9q = -45 + 9q + -9q Combine like terms: 9q + -9q = 0 -63 + -9q = -45 + 0 -63 + -9q = -45 Add '63' to each side of the equation. -63 + 63 + -9q = -45 + 63 Combine like terms: -63 + 63 = 0 0 + -9q = -45 + 63 -9q = -45 + 63 Combine like terms: -45 + 63 = 18 -9q = 18 Divide each side by '-9'. q = -2 Simplifying q = -2
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