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Simplifying 2.5 + m(m + -2) = m(m + -3) Reorder the terms: 2.5 + m(-2 + m) = m(m + -3) 2.5 + (-2 * m + m * m) = m(m + -3) 2.5 + (-2m + m2) = m(m + -3) Reorder the terms: 2.5 + -2m + m2 = m(-3 + m) 2.5 + -2m + m2 = (-3 * m + m * m) 2.5 + -2m + m2 = (-3m + m2) Add '-1m2' to each side of the equation. 2.5 + -2m + m2 + -1m2 = -3m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 2.5 + -2m + 0 = -3m + m2 + -1m2 2.5 + -2m = -3m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 2.5 + -2m = -3m + 0 2.5 + -2m = -3m Solving 2.5 + -2m = -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. 2.5 + -2m + 3m = -3m + 3m Combine like terms: -2m + 3m = 1m 2.5 + 1m = -3m + 3m Combine like terms: -3m + 3m = 0 2.5 + 1m = 0 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 1m = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1m = 0 + -2.5 1m = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 1m = -2.5 Divide each side by '1'. m = -2.5 Simplifying m = -2.5
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