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Simplifying 2(m + -4) + 7 = 5(m + 3) Reorder the terms: 2(-4 + m) + 7 = 5(m + 3) (-4 * 2 + m * 2) + 7 = 5(m + 3) (-8 + 2m) + 7 = 5(m + 3) Reorder the terms: -8 + 7 + 2m = 5(m + 3) Combine like terms: -8 + 7 = -1 -1 + 2m = 5(m + 3) Reorder the terms: -1 + 2m = 5(3 + m) -1 + 2m = (3 * 5 + m * 5) -1 + 2m = (15 + 5m) Solving -1 + 2m = 15 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -1 + 2m + -5m = 15 + 5m + -5m Combine like terms: 2m + -5m = -3m -1 + -3m = 15 + 5m + -5m Combine like terms: 5m + -5m = 0 -1 + -3m = 15 + 0 -1 + -3m = 15 Add '1' to each side of the equation. -1 + 1 + -3m = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -3m = 15 + 1 -3m = 15 + 1 Combine like terms: 15 + 1 = 16 -3m = 16 Divide each side by '-3'. m = -5.333333333 Simplifying m = -5.333333333
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