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Simplifying 9(-10q + 8) = 18(-2 + -6q) Reorder the terms: 9(8 + -10q) = 18(-2 + -6q) (8 * 9 + -10q * 9) = 18(-2 + -6q) (72 + -90q) = 18(-2 + -6q) 72 + -90q = (-2 * 18 + -6q * 18) 72 + -90q = (-36 + -108q) Solving 72 + -90q = -36 + -108q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '108q' to each side of the equation. 72 + -90q + 108q = -36 + -108q + 108q Combine like terms: -90q + 108q = 18q 72 + 18q = -36 + -108q + 108q Combine like terms: -108q + 108q = 0 72 + 18q = -36 + 0 72 + 18q = -36 Add '-72' to each side of the equation. 72 + -72 + 18q = -36 + -72 Combine like terms: 72 + -72 = 0 0 + 18q = -36 + -72 18q = -36 + -72 Combine like terms: -36 + -72 = -108 18q = -108 Divide each side by '18'. q = -6 Simplifying q = -6
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