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Simplifying 4m + 5(m + -3) = 3(2m) + 100 Reorder the terms: 4m + 5(-3 + m) = 3(2m) + 100 4m + (-3 * 5 + m * 5) = 3(2m) + 100 4m + (-15 + 5m) = 3(2m) + 100 Reorder the terms: -15 + 4m + 5m = 3(2m) + 100 Combine like terms: 4m + 5m = 9m -15 + 9m = 3(2m) + 100 Remove parenthesis around (2m) -15 + 9m = 3 * 2m + 100 Multiply 3 * 2 -15 + 9m = 6m + 100 Reorder the terms: -15 + 9m = 100 + 6m Solving -15 + 9m = 100 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -15 + 9m + -6m = 100 + 6m + -6m Combine like terms: 9m + -6m = 3m -15 + 3m = 100 + 6m + -6m Combine like terms: 6m + -6m = 0 -15 + 3m = 100 + 0 -15 + 3m = 100 Add '15' to each side of the equation. -15 + 15 + 3m = 100 + 15 Combine like terms: -15 + 15 = 0 0 + 3m = 100 + 15 3m = 100 + 15 Combine like terms: 100 + 15 = 115 3m = 115 Divide each side by '3'. m = 38.33333333 Simplifying m = 38.33333333
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