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Simplifying 8m + 11 + 3m + -1 = 5m + 52 Reorder the terms: 11 + -1 + 8m + 3m = 5m + 52 Combine like terms: 11 + -1 = 10 10 + 8m + 3m = 5m + 52 Combine like terms: 8m + 3m = 11m 10 + 11m = 5m + 52 Reorder the terms: 10 + 11m = 52 + 5m Solving 10 + 11m = 52 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 10 + 11m + -5m = 52 + 5m + -5m Combine like terms: 11m + -5m = 6m 10 + 6m = 52 + 5m + -5m Combine like terms: 5m + -5m = 0 10 + 6m = 52 + 0 10 + 6m = 52 Add '-10' to each side of the equation. 10 + -10 + 6m = 52 + -10 Combine like terms: 10 + -10 = 0 0 + 6m = 52 + -10 6m = 52 + -10 Combine like terms: 52 + -10 = 42 6m = 42 Divide each side by '6'. m = 7 Simplifying m = 7
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