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Simplifying 5(q + -9) + -1(-17) = -1(q + -8) Reorder the terms: 5(-9 + q) + -1(-17) = -1(q + -8) (-9 * 5 + q * 5) + -1(-17) = -1(q + -8) (-45 + 5q) + -1(-17) = -1(q + -8) Multiply -1 * -17 -45 + 5q + 17 = -1(q + -8) Reorder the terms: -45 + 17 + 5q = -1(q + -8) Combine like terms: -45 + 17 = -28 -28 + 5q = -1(q + -8) Reorder the terms: -28 + 5q = -1(-8 + q) -28 + 5q = (-8 * -1 + q * -1) -28 + 5q = (8 + -1q) Solving -28 + 5q = 8 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -28 + 5q + q = 8 + -1q + q Combine like terms: 5q + q = 6q -28 + 6q = 8 + -1q + q Combine like terms: -1q + q = 0 -28 + 6q = 8 + 0 -28 + 6q = 8 Add '28' to each side of the equation. -28 + 28 + 6q = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 6q = 8 + 28 6q = 8 + 28 Combine like terms: 8 + 28 = 36 6q = 36 Divide each side by '6'. q = 6 Simplifying q = 6
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