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Simplifying -10(-2m + -6) = -32 + -3m Reorder the terms: -10(-6 + -2m) = -32 + -3m (-6 * -10 + -2m * -10) = -32 + -3m (60 + 20m) = -32 + -3m Solving 60 + 20m = -32 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 60 + 20m + 3m = -32 + -3m + 3m Combine like terms: 20m + 3m = 23m 60 + 23m = -32 + -3m + 3m Combine like terms: -3m + 3m = 0 60 + 23m = -32 + 0 60 + 23m = -32 Add '-60' to each side of the equation. 60 + -60 + 23m = -32 + -60 Combine like terms: 60 + -60 = 0 0 + 23m = -32 + -60 23m = -32 + -60 Combine like terms: -32 + -60 = -92 23m = -92 Divide each side by '23'. m = -4 Simplifying m = -4
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