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Simplifying 2m + -3(5 + -3m) = 3m + 4 2m + (5 * -3 + -3m * -3) = 3m + 4 2m + (-15 + 9m) = 3m + 4 Reorder the terms: -15 + 2m + 9m = 3m + 4 Combine like terms: 2m + 9m = 11m -15 + 11m = 3m + 4 Reorder the terms: -15 + 11m = 4 + 3m Solving -15 + 11m = 4 + 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. -15 + 11m + -3m = 4 + 3m + -3m Combine like terms: 11m + -3m = 8m -15 + 8m = 4 + 3m + -3m Combine like terms: 3m + -3m = 0 -15 + 8m = 4 + 0 -15 + 8m = 4 Add '15' to each side of the equation. -15 + 15 + 8m = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 8m = 4 + 15 8m = 4 + 15 Combine like terms: 4 + 15 = 19 8m = 19 Divide each side by '8'. m = 2.375 Simplifying m = 2.375
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