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Simplifying (5 + 2) + m(m + -2) = m(m + -3) Combine like terms: 5 + 2 = 7 (7) + m(m + -2) = m(m + -3) 7 + m(m + -2) = m(m + -3) Reorder the terms: 7 + m(-2 + m) = m(m + -3) 7 + (-2 * m + m * m) = m(m + -3) 7 + (-2m + m2) = m(m + -3) Reorder the terms: 7 + -2m + m2 = m(-3 + m) 7 + -2m + m2 = (-3 * m + m * m) 7 + -2m + m2 = (-3m + m2) Add '-1m2' to each side of the equation. 7 + -2m + m2 + -1m2 = -3m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 7 + -2m + 0 = -3m + m2 + -1m2 7 + -2m = -3m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 7 + -2m = -3m + 0 7 + -2m = -3m Solving 7 + -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. 7 + -2m + 3m = -3m + 3m Combine like terms: -2m + 3m = 1m 7 + 1m = -3m + 3m Combine like terms: -3m + 3m = 0 7 + 1m = 0 Add '-7' to each side of the equation. 7 + -7 + 1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1m = 0 + -7 1m = 0 + -7 Combine like terms: 0 + -7 = -7 1m = -7 Divide each side by '1'. m = -7 Simplifying m = -7
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