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Simplifying 5(m + -3) + 2 = 2m + 4 Reorder the terms: 5(-3 + m) + 2 = 2m + 4 (-3 * 5 + m * 5) + 2 = 2m + 4 (-15 + 5m) + 2 = 2m + 4 Reorder the terms: -15 + 2 + 5m = 2m + 4 Combine like terms: -15 + 2 = -13 -13 + 5m = 2m + 4 Reorder the terms: -13 + 5m = 4 + 2m Solving -13 + 5m = 4 + 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. -13 + 5m + -2m = 4 + 2m + -2m Combine like terms: 5m + -2m = 3m -13 + 3m = 4 + 2m + -2m Combine like terms: 2m + -2m = 0 -13 + 3m = 4 + 0 -13 + 3m = 4 Add '13' to each side of the equation. -13 + 13 + 3m = 4 + 13 Combine like terms: -13 + 13 = 0 0 + 3m = 4 + 13 3m = 4 + 13 Combine like terms: 4 + 13 = 17 3m = 17 Divide each side by '3'. m = 5.666666667 Simplifying m = 5.666666667
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