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Simplifying -15 + 19q = -5(-5q + -9) Reorder the terms: -15 + 19q = -5(-9 + -5q) -15 + 19q = (-9 * -5 + -5q * -5) -15 + 19q = (45 + 25q) Solving -15 + 19q = 45 + 25q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-25q' to each side of the equation. -15 + 19q + -25q = 45 + 25q + -25q Combine like terms: 19q + -25q = -6q -15 + -6q = 45 + 25q + -25q Combine like terms: 25q + -25q = 0 -15 + -6q = 45 + 0 -15 + -6q = 45 Add '15' to each side of the equation. -15 + 15 + -6q = 45 + 15 Combine like terms: -15 + 15 = 0 0 + -6q = 45 + 15 -6q = 45 + 15 Combine like terms: 45 + 15 = 60 -6q = 60 Divide each side by '-6'. q = -10 Simplifying q = -10
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