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Simplifying 10m + 7 + -7m = 8m + 2 + -6m + -5 Reorder the terms: 7 + 10m + -7m = 8m + 2 + -6m + -5 Combine like terms: 10m + -7m = 3m 7 + 3m = 8m + 2 + -6m + -5 Reorder the terms: 7 + 3m = 2 + -5 + 8m + -6m Combine like terms: 2 + -5 = -3 7 + 3m = -3 + 8m + -6m Combine like terms: 8m + -6m = 2m 7 + 3m = -3 + 2m Solving 7 + 3m = -3 + 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 + 3m + -2m = -3 + 2m + -2m Combine like terms: 3m + -2m = 1m 7 + 1m = -3 + 2m + -2m Combine like terms: 2m + -2m = 0 7 + 1m = -3 + 0 7 + 1m = -3 Add '-7' to each side of the equation. 7 + -7 + 1m = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 1m = -3 + -7 1m = -3 + -7 Combine like terms: -3 + -7 = -10 1m = -10 Divide each side by '1'. m = -10 Simplifying m = -10
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