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Simplifying 10m + 11 = 4(2m + 1) + 3m Reorder the terms: 11 + 10m = 4(2m + 1) + 3m Reorder the terms: 11 + 10m = 4(1 + 2m) + 3m 11 + 10m = (1 * 4 + 2m * 4) + 3m 11 + 10m = (4 + 8m) + 3m Combine like terms: 8m + 3m = 11m 11 + 10m = 4 + 11m Solving 11 + 10m = 4 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 11 + 10m + -11m = 4 + 11m + -11m Combine like terms: 10m + -11m = -1m 11 + -1m = 4 + 11m + -11m Combine like terms: 11m + -11m = 0 11 + -1m = 4 + 0 11 + -1m = 4 Add '-11' to each side of the equation. 11 + -11 + -1m = 4 + -11 Combine like terms: 11 + -11 = 0 0 + -1m = 4 + -11 -1m = 4 + -11 Combine like terms: 4 + -11 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7
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