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Simplifying 7m + -50 + 3m = 100 + 8m Reorder the terms: -50 + 7m + 3m = 100 + 8m Combine like terms: 7m + 3m = 10m -50 + 10m = 100 + 8m Solving -50 + 10m = 100 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. -50 + 10m + -8m = 100 + 8m + -8m Combine like terms: 10m + -8m = 2m -50 + 2m = 100 + 8m + -8m Combine like terms: 8m + -8m = 0 -50 + 2m = 100 + 0 -50 + 2m = 100 Add '50' to each side of the equation. -50 + 50 + 2m = 100 + 50 Combine like terms: -50 + 50 = 0 0 + 2m = 100 + 50 2m = 100 + 50 Combine like terms: 100 + 50 = 150 2m = 150 Divide each side by '2'. m = 75 Simplifying m = 75
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