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