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Simplifying -4m + -3 + -2m + 4 = 3m + -7m + 4 + -6m + 9 Reorder the terms: -3 + 4 + -4m + -2m = 3m + -7m + 4 + -6m + 9 Combine like terms: -3 + 4 = 1 1 + -4m + -2m = 3m + -7m + 4 + -6m + 9 Combine like terms: -4m + -2m = -6m 1 + -6m = 3m + -7m + 4 + -6m + 9 Reorder the terms: 1 + -6m = 4 + 9 + 3m + -7m + -6m Combine like terms: 4 + 9 = 13 1 + -6m = 13 + 3m + -7m + -6m Combine like terms: 3m + -7m = -4m 1 + -6m = 13 + -4m + -6m Combine like terms: -4m + -6m = -10m 1 + -6m = 13 + -10m Solving 1 + -6m = 13 + -10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10m' to each side of the equation. 1 + -6m + 10m = 13 + -10m + 10m Combine like terms: -6m + 10m = 4m 1 + 4m = 13 + -10m + 10m Combine like terms: -10m + 10m = 0 1 + 4m = 13 + 0 1 + 4m = 13 Add '-1' to each side of the equation. 1 + -1 + 4m = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 4m = 13 + -1 4m = 13 + -1 Combine like terms: 13 + -1 = 12 4m = 12 Divide each side by '4'. m = 3 Simplifying m = 3
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