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Simplifying 8m + -1(1 + -1m) = 47 + 3m 8m + (1 * -1 + -1m * -1) = 47 + 3m 8m + (-1 + 1m) = 47 + 3m Reorder the terms: -1 + 8m + 1m = 47 + 3m Combine like terms: 8m + 1m = 9m -1 + 9m = 47 + 3m Solving -1 + 9m = 47 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -1 + 9m + -3m = 47 + 3m + -3m Combine like terms: 9m + -3m = 6m -1 + 6m = 47 + 3m + -3m Combine like terms: 3m + -3m = 0 -1 + 6m = 47 + 0 -1 + 6m = 47 Add '1' to each side of the equation. -1 + 1 + 6m = 47 + 1 Combine like terms: -1 + 1 = 0 0 + 6m = 47 + 1 6m = 47 + 1 Combine like terms: 47 + 1 = 48 6m = 48 Divide each side by '6'. m = 8 Simplifying m = 8
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