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Simplifying -5q + 24 = -8(q + -6) + 6q Reorder the terms: 24 + -5q = -8(q + -6) + 6q Reorder the terms: 24 + -5q = -8(-6 + q) + 6q 24 + -5q = (-6 * -8 + q * -8) + 6q 24 + -5q = (48 + -8q) + 6q Combine like terms: -8q + 6q = -2q 24 + -5q = 48 + -2q Solving 24 + -5q = 48 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 24 + -5q + 2q = 48 + -2q + 2q Combine like terms: -5q + 2q = -3q 24 + -3q = 48 + -2q + 2q Combine like terms: -2q + 2q = 0 24 + -3q = 48 + 0 24 + -3q = 48 Add '-24' to each side of the equation. 24 + -24 + -3q = 48 + -24 Combine like terms: 24 + -24 = 0 0 + -3q = 48 + -24 -3q = 48 + -24 Combine like terms: 48 + -24 = 24 -3q = 24 Divide each side by '-3'. q = -8 Simplifying q = -8
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