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Simplifying -32 + 7m + -24 = 6m + -12 + -3m Reorder the terms: -32 + -24 + 7m = 6m + -12 + -3m Combine like terms: -32 + -24 = -56 -56 + 7m = 6m + -12 + -3m Reorder the terms: -56 + 7m = -12 + 6m + -3m Combine like terms: 6m + -3m = 3m -56 + 7m = -12 + 3m Solving -56 + 7m = -12 + 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. -56 + 7m + -3m = -12 + 3m + -3m Combine like terms: 7m + -3m = 4m -56 + 4m = -12 + 3m + -3m Combine like terms: 3m + -3m = 0 -56 + 4m = -12 + 0 -56 + 4m = -12 Add '56' to each side of the equation. -56 + 56 + 4m = -12 + 56 Combine like terms: -56 + 56 = 0 0 + 4m = -12 + 56 4m = -12 + 56 Combine like terms: -12 + 56 = 44 4m = 44 Divide each side by '4'. m = 11 Simplifying m = 11
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