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Simplifying -4m + -7 + 13m = 12 + 2m + -5 Reorder the terms: -7 + -4m + 13m = 12 + 2m + -5 Combine like terms: -4m + 13m = 9m -7 + 9m = 12 + 2m + -5 Reorder the terms: -7 + 9m = 12 + -5 + 2m Combine like terms: 12 + -5 = 7 -7 + 9m = 7 + 2m Solving -7 + 9m = 7 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -7 + 9m + -2m = 7 + 2m + -2m Combine like terms: 9m + -2m = 7m -7 + 7m = 7 + 2m + -2m Combine like terms: 2m + -2m = 0 -7 + 7m = 7 + 0 -7 + 7m = 7 Add '7' to each side of the equation. -7 + 7 + 7m = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 7m = 7 + 7 7m = 7 + 7 Combine like terms: 7 + 7 = 14 7m = 14 Divide each side by '7'. m = 2 Simplifying m = 2
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