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Simplifying 11m + 7 = 10m + 13 Reorder the terms: 7 + 11m = 10m + 13 Reorder the terms: 7 + 11m = 13 + 10m Solving 7 + 11m = 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. 7 + 11m + -10m = 13 + 10m + -10m Combine like terms: 11m + -10m = 1m 7 + 1m = 13 + 10m + -10m Combine like terms: 10m + -10m = 0 7 + 1m = 13 + 0 7 + 1m = 13 Add '-7' to each side of the equation. 7 + -7 + 1m = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 1m = 13 + -7 1m = 13 + -7 Combine like terms: 13 + -7 = 6 1m = 6 Divide each side by '1'. m = 6 Simplifying m = 6
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