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Simplifying 10m + -7 + -3m + -5 = 6m + -3m + 2 Reorder the terms: -7 + -5 + 10m + -3m = 6m + -3m + 2 Combine like terms: -7 + -5 = -12 -12 + 10m + -3m = 6m + -3m + 2 Combine like terms: 10m + -3m = 7m -12 + 7m = 6m + -3m + 2 Reorder the terms: -12 + 7m = 2 + 6m + -3m Combine like terms: 6m + -3m = 3m -12 + 7m = 2 + 3m Solving -12 + 7m = 2 + 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. -12 + 7m + -3m = 2 + 3m + -3m Combine like terms: 7m + -3m = 4m -12 + 4m = 2 + 3m + -3m Combine like terms: 3m + -3m = 0 -12 + 4m = 2 + 0 -12 + 4m = 2 Add '12' to each side of the equation. -12 + 12 + 4m = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 4m = 2 + 12 4m = 2 + 12 Combine like terms: 2 + 12 = 14 4m = 14 Divide each side by '4'. m = 3.5 Simplifying m = 3.5
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