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Simplifying m(m + 3) + 5m = 3 + m(m + -4) Reorder the terms: m(3 + m) + 5m = 3 + m(m + -4) (3 * m + m * m) + 5m = 3 + m(m + -4) (3m + m2) + 5m = 3 + m(m + -4) Reorder the terms: 3m + 5m + m2 = 3 + m(m + -4) Combine like terms: 3m + 5m = 8m 8m + m2 = 3 + m(m + -4) Reorder the terms: 8m + m2 = 3 + m(-4 + m) 8m + m2 = 3 + (-4 * m + m * m) 8m + m2 = 3 + (-4m + m2) Add '-1m2' to each side of the equation. 8m + m2 + -1m2 = 3 + -4m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 8m + 0 = 3 + -4m + m2 + -1m2 8m = 3 + -4m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 8m = 3 + -4m + 0 8m = 3 + -4m Solving 8m = 3 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 8m + 4m = 3 + -4m + 4m Combine like terms: 8m + 4m = 12m 12m = 3 + -4m + 4m Combine like terms: -4m + 4m = 0 12m = 3 + 0 12m = 3 Divide each side by '12'. m = 0.25 Simplifying m = 0.25
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