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Simplifying 5m + 4 + 6m + 9 = 10m + 5 Reorder the terms: 4 + 9 + 5m + 6m = 10m + 5 Combine like terms: 4 + 9 = 13 13 + 5m + 6m = 10m + 5 Combine like terms: 5m + 6m = 11m 13 + 11m = 10m + 5 Reorder the terms: 13 + 11m = 5 + 10m Solving 13 + 11m = 5 + 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. 13 + 11m + -10m = 5 + 10m + -10m Combine like terms: 11m + -10m = 1m 13 + 1m = 5 + 10m + -10m Combine like terms: 10m + -10m = 0 13 + 1m = 5 + 0 13 + 1m = 5 Add '-13' to each side of the equation. 13 + -13 + 1m = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 1m = 5 + -13 1m = 5 + -13 Combine like terms: 5 + -13 = -8 1m = -8 Divide each side by '1'. m = -8 Simplifying m = -8
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