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Simplifying -2q + 6 = 3q + -24 Reorder the terms: 6 + -2q = 3q + -24 Reorder the terms: 6 + -2q = -24 + 3q Solving 6 + -2q = -24 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 6 + -2q + -3q = -24 + 3q + -3q Combine like terms: -2q + -3q = -5q 6 + -5q = -24 + 3q + -3q Combine like terms: 3q + -3q = 0 6 + -5q = -24 + 0 6 + -5q = -24 Add '-6' to each side of the equation. 6 + -6 + -5q = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -5q = -24 + -6 -5q = -24 + -6 Combine like terms: -24 + -6 = -30 -5q = -30 Divide each side by '-5'. q = 6 Simplifying q = 6
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