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Simplifying 1 + 10(q + -3) = -20(9 + -4q) Reorder the terms: 1 + 10(-3 + q) = -20(9 + -4q) 1 + (-3 * 10 + q * 10) = -20(9 + -4q) 1 + (-30 + 10q) = -20(9 + -4q) Combine like terms: 1 + -30 = -29 -29 + 10q = -20(9 + -4q) -29 + 10q = (9 * -20 + -4q * -20) -29 + 10q = (-180 + 80q) Solving -29 + 10q = -180 + 80q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-80q' to each side of the equation. -29 + 10q + -80q = -180 + 80q + -80q Combine like terms: 10q + -80q = -70q -29 + -70q = -180 + 80q + -80q Combine like terms: 80q + -80q = 0 -29 + -70q = -180 + 0 -29 + -70q = -180 Add '29' to each side of the equation. -29 + 29 + -70q = -180 + 29 Combine like terms: -29 + 29 = 0 0 + -70q = -180 + 29 -70q = -180 + 29 Combine like terms: -180 + 29 = -151 -70q = -151 Divide each side by '-70'. q = 2.157142857 Simplifying q = 2.157142857
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