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Simplifying -15 + -9(-2q + 20) = -3(-11q + 15) Reorder the terms: -15 + -9(20 + -2q) = -3(-11q + 15) -15 + (20 * -9 + -2q * -9) = -3(-11q + 15) -15 + (-180 + 18q) = -3(-11q + 15) Combine like terms: -15 + -180 = -195 -195 + 18q = -3(-11q + 15) Reorder the terms: -195 + 18q = -3(15 + -11q) -195 + 18q = (15 * -3 + -11q * -3) -195 + 18q = (-45 + 33q) Solving -195 + 18q = -45 + 33q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-33q' to each side of the equation. -195 + 18q + -33q = -45 + 33q + -33q Combine like terms: 18q + -33q = -15q -195 + -15q = -45 + 33q + -33q Combine like terms: 33q + -33q = 0 -195 + -15q = -45 + 0 -195 + -15q = -45 Add '195' to each side of the equation. -195 + 195 + -15q = -45 + 195 Combine like terms: -195 + 195 = 0 0 + -15q = -45 + 195 -15q = -45 + 195 Combine like terms: -45 + 195 = 150 -15q = 150 Divide each side by '-15'. q = -10 Simplifying q = -10
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