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Simplifying -10q + -1(q + -1) = 3(-1q + 80) Reorder the terms: -10q + -1(-1 + q) = 3(-1q + 80) -10q + (-1 * -1 + q * -1) = 3(-1q + 80) -10q + (1 + -1q) = 3(-1q + 80) Reorder the terms: 1 + -10q + -1q = 3(-1q + 80) Combine like terms: -10q + -1q = -11q 1 + -11q = 3(-1q + 80) Reorder the terms: 1 + -11q = 3(80 + -1q) 1 + -11q = (80 * 3 + -1q * 3) 1 + -11q = (240 + -3q) Solving 1 + -11q = 240 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 1 + -11q + 3q = 240 + -3q + 3q Combine like terms: -11q + 3q = -8q 1 + -8q = 240 + -3q + 3q Combine like terms: -3q + 3q = 0 1 + -8q = 240 + 0 1 + -8q = 240 Add '-1' to each side of the equation. 1 + -1 + -8q = 240 + -1 Combine like terms: 1 + -1 = 0 0 + -8q = 240 + -1 -8q = 240 + -1 Combine like terms: 240 + -1 = 239 -8q = 239 Divide each side by '-8'. q = -29.875 Simplifying q = -29.875
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