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Simplifying 5m + -2(m + 2) = (2m + 15) Reorder the terms: 5m + -2(2 + m) = (2m + 15) 5m + (2 * -2 + m * -2) = (2m + 15) 5m + (-4 + -2m) = (2m + 15) Reorder the terms: -4 + 5m + -2m = (2m + 15) Combine like terms: 5m + -2m = 3m -4 + 3m = (2m + 15) Reorder the terms: -4 + 3m = (15 + 2m) Remove parenthesis around (15 + 2m) -4 + 3m = 15 + 2m Solving -4 + 3m = 15 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -4 + 3m + -2m = 15 + 2m + -2m Combine like terms: 3m + -2m = 1m -4 + 1m = 15 + 2m + -2m Combine like terms: 2m + -2m = 0 -4 + 1m = 15 + 0 -4 + 1m = 15 Add '4' to each side of the equation. -4 + 4 + 1m = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 1m = 15 + 4 1m = 15 + 4 Combine like terms: 15 + 4 = 19 1m = 19 Divide each side by '1'. m = 19 Simplifying m = 19
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