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Simplifying -1(m + 4) + 2 = 3m + 8 Reorder the terms: -1(4 + m) + 2 = 3m + 8 (4 * -1 + m * -1) + 2 = 3m + 8 (-4 + -1m) + 2 = 3m + 8 Reorder the terms: -4 + 2 + -1m = 3m + 8 Combine like terms: -4 + 2 = -2 -2 + -1m = 3m + 8 Reorder the terms: -2 + -1m = 8 + 3m Solving -2 + -1m = 8 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -2 + -1m + -3m = 8 + 3m + -3m Combine like terms: -1m + -3m = -4m -2 + -4m = 8 + 3m + -3m Combine like terms: 3m + -3m = 0 -2 + -4m = 8 + 0 -2 + -4m = 8 Add '2' to each side of the equation. -2 + 2 + -4m = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -4m = 8 + 2 -4m = 8 + 2 Combine like terms: 8 + 2 = 10 -4m = 10 Divide each side by '-4'. m = -2.5 Simplifying m = -2.5
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