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