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Simplifying 6(5q + -8) + -20 = 11(2q + -3) + 3q Reorder the terms: 6(-8 + 5q) + -20 = 11(2q + -3) + 3q (-8 * 6 + 5q * 6) + -20 = 11(2q + -3) + 3q (-48 + 30q) + -20 = 11(2q + -3) + 3q Reorder the terms: -48 + -20 + 30q = 11(2q + -3) + 3q Combine like terms: -48 + -20 = -68 -68 + 30q = 11(2q + -3) + 3q Reorder the terms: -68 + 30q = 11(-3 + 2q) + 3q -68 + 30q = (-3 * 11 + 2q * 11) + 3q -68 + 30q = (-33 + 22q) + 3q Combine like terms: 22q + 3q = 25q -68 + 30q = -33 + 25q Solving -68 + 30q = -33 + 25q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-25q' to each side of the equation. -68 + 30q + -25q = -33 + 25q + -25q Combine like terms: 30q + -25q = 5q -68 + 5q = -33 + 25q + -25q Combine like terms: 25q + -25q = 0 -68 + 5q = -33 + 0 -68 + 5q = -33 Add '68' to each side of the equation. -68 + 68 + 5q = -33 + 68 Combine like terms: -68 + 68 = 0 0 + 5q = -33 + 68 5q = -33 + 68 Combine like terms: -33 + 68 = 35 5q = 35 Divide each side by '5'. q = 7 Simplifying q = 7
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