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Simplifying 8m + -1(3 + 2m) = 3m + 1 8m + (3 * -1 + 2m * -1) = 3m + 1 8m + (-3 + -2m) = 3m + 1 Reorder the terms: -3 + 8m + -2m = 3m + 1 Combine like terms: 8m + -2m = 6m -3 + 6m = 3m + 1 Reorder the terms: -3 + 6m = 1 + 3m Solving -3 + 6m = 1 + 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. -3 + 6m + -3m = 1 + 3m + -3m Combine like terms: 6m + -3m = 3m -3 + 3m = 1 + 3m + -3m Combine like terms: 3m + -3m = 0 -3 + 3m = 1 + 0 -3 + 3m = 1 Add '3' to each side of the equation. -3 + 3 + 3m = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 3m = 1 + 3 3m = 1 + 3 Combine like terms: 1 + 3 = 4 3m = 4 Divide each side by '3'. m = 1.333333333 Simplifying m = 1.333333333
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