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Simplifying -5q + 2 = -8q + -10 Reorder the terms: 2 + -5q = -8q + -10 Reorder the terms: 2 + -5q = -10 + -8q Solving 2 + -5q = -10 + -8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8q' to each side of the equation. 2 + -5q + 8q = -10 + -8q + 8q Combine like terms: -5q + 8q = 3q 2 + 3q = -10 + -8q + 8q Combine like terms: -8q + 8q = 0 2 + 3q = -10 + 0 2 + 3q = -10 Add '-2' to each side of the equation. 2 + -2 + 3q = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 3q = -10 + -2 3q = -10 + -2 Combine like terms: -10 + -2 = -12 3q = -12 Divide each side by '3'. q = -4 Simplifying q = -4
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