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Simplifying 3m2 + -5m + 8 = (m + -1)(3m + 2) Reorder the terms: 8 + -5m + 3m2 = (m + -1)(3m + 2) Reorder the terms: 8 + -5m + 3m2 = (-1 + m)(3m + 2) Reorder the terms: 8 + -5m + 3m2 = (-1 + m)(2 + 3m) Multiply (-1 + m) * (2 + 3m) 8 + -5m + 3m2 = (-1(2 + 3m) + m(2 + 3m)) 8 + -5m + 3m2 = ((2 * -1 + 3m * -1) + m(2 + 3m)) 8 + -5m + 3m2 = ((-2 + -3m) + m(2 + 3m)) 8 + -5m + 3m2 = (-2 + -3m + (2 * m + 3m * m)) 8 + -5m + 3m2 = (-2 + -3m + (2m + 3m2)) Combine like terms: -3m + 2m = -1m 8 + -5m + 3m2 = (-2 + -1m + 3m2) Add '-3m2' to each side of the equation. 8 + -5m + 3m2 + -3m2 = -2 + -1m + 3m2 + -3m2 Combine like terms: 3m2 + -3m2 = 0 8 + -5m + 0 = -2 + -1m + 3m2 + -3m2 8 + -5m = -2 + -1m + 3m2 + -3m2 Combine like terms: 3m2 + -3m2 = 0 8 + -5m = -2 + -1m + 0 8 + -5m = -2 + -1m Solving 8 + -5m = -2 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. 8 + -5m + m = -2 + -1m + m Combine like terms: -5m + m = -4m 8 + -4m = -2 + -1m + m Combine like terms: -1m + m = 0 8 + -4m = -2 + 0 8 + -4m = -2 Add '-8' to each side of the equation. 8 + -8 + -4m = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -4m = -2 + -8 -4m = -2 + -8 Combine like terms: -2 + -8 = -10 -4m = -10 Divide each side by '-4'. m = 2.5 Simplifying m = 2.5
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