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Simplifying 8m + 11 = 4 + 5(2m + -1) Reorder the terms: 11 + 8m = 4 + 5(2m + -1) Reorder the terms: 11 + 8m = 4 + 5(-1 + 2m) 11 + 8m = 4 + (-1 * 5 + 2m * 5) 11 + 8m = 4 + (-5 + 10m) Combine like terms: 4 + -5 = -1 11 + 8m = -1 + 10m Solving 11 + 8m = -1 + 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. 11 + 8m + -10m = -1 + 10m + -10m Combine like terms: 8m + -10m = -2m 11 + -2m = -1 + 10m + -10m Combine like terms: 10m + -10m = 0 11 + -2m = -1 + 0 11 + -2m = -1 Add '-11' to each side of the equation. 11 + -11 + -2m = -1 + -11 Combine like terms: 11 + -11 = 0 0 + -2m = -1 + -11 -2m = -1 + -11 Combine like terms: -1 + -11 = -12 -2m = -12 Divide each side by '-2'. m = 6 Simplifying m = 6
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