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Simplifying 7m + 40 + 4m + -16 = 13m + -12 + -3m + 5 Reorder the terms: 40 + -16 + 7m + 4m = 13m + -12 + -3m + 5 Combine like terms: 40 + -16 = 24 24 + 7m + 4m = 13m + -12 + -3m + 5 Combine like terms: 7m + 4m = 11m 24 + 11m = 13m + -12 + -3m + 5 Reorder the terms: 24 + 11m = -12 + 5 + 13m + -3m Combine like terms: -12 + 5 = -7 24 + 11m = -7 + 13m + -3m Combine like terms: 13m + -3m = 10m 24 + 11m = -7 + 10m Solving 24 + 11m = -7 + 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. 24 + 11m + -10m = -7 + 10m + -10m Combine like terms: 11m + -10m = 1m 24 + 1m = -7 + 10m + -10m Combine like terms: 10m + -10m = 0 24 + 1m = -7 + 0 24 + 1m = -7 Add '-24' to each side of the equation. 24 + -24 + 1m = -7 + -24 Combine like terms: 24 + -24 = 0 0 + 1m = -7 + -24 1m = -7 + -24 Combine like terms: -7 + -24 = -31 1m = -31 Divide each side by '1'. m = -31 Simplifying m = -31
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