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Simplifying -11 + -8m = 5m + 5(1 + -3m) -11 + -8m = 5m + (1 * 5 + -3m * 5) -11 + -8m = 5m + (5 + -15m) Reorder the terms: -11 + -8m = 5 + 5m + -15m Combine like terms: 5m + -15m = -10m -11 + -8m = 5 + -10m Solving -11 + -8m = 5 + -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 = 5 + -10m + 10m Combine like terms: -8m + 10m = 2m -11 + 2m = 5 + -10m + 10m Combine like terms: -10m + 10m = 0 -11 + 2m = 5 + 0 -11 + 2m = 5 Add '11' to each side of the equation. -11 + 11 + 2m = 5 + 11 Combine like terms: -11 + 11 = 0 0 + 2m = 5 + 11 2m = 5 + 11 Combine like terms: 5 + 11 = 16 2m = 16 Divide each side by '2'. m = 8 Simplifying m = 8
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