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Simplifying -8(-2q + 15) + -1 = 6 + -5q + 20 Reorder the terms: -8(15 + -2q) + -1 = 6 + -5q + 20 (15 * -8 + -2q * -8) + -1 = 6 + -5q + 20 (-120 + 16q) + -1 = 6 + -5q + 20 Reorder the terms: -120 + -1 + 16q = 6 + -5q + 20 Combine like terms: -120 + -1 = -121 -121 + 16q = 6 + -5q + 20 Reorder the terms: -121 + 16q = 6 + 20 + -5q Combine like terms: 6 + 20 = 26 -121 + 16q = 26 + -5q Solving -121 + 16q = 26 + -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. -121 + 16q + 5q = 26 + -5q + 5q Combine like terms: 16q + 5q = 21q -121 + 21q = 26 + -5q + 5q Combine like terms: -5q + 5q = 0 -121 + 21q = 26 + 0 -121 + 21q = 26 Add '121' to each side of the equation. -121 + 121 + 21q = 26 + 121 Combine like terms: -121 + 121 = 0 0 + 21q = 26 + 121 21q = 26 + 121 Combine like terms: 26 + 121 = 147 21q = 147 Divide each side by '21'. q = 7 Simplifying q = 7
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