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Simplifying 3m + -1(n + 5) = n + -2 Reorder the terms: 3m + -1(5 + n) = n + -2 3m + (5 * -1 + n * -1) = n + -2 3m + (-5 + -1n) = n + -2 Reorder the terms: -5 + 3m + -1n = n + -2 Reorder the terms: -5 + 3m + -1n = -2 + n Solving -5 + 3m + -1n = -2 + n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3m + 5 + -1n = -2 + 5 + n Reorder the terms: -5 + 5 + 3m + -1n = -2 + 5 + n Combine like terms: -5 + 5 = 0 0 + 3m + -1n = -2 + 5 + n 3m + -1n = -2 + 5 + n Combine like terms: -2 + 5 = 3 3m + -1n = 3 + n Add 'n' to each side of the equation. 3m + -1n + n = 3 + n + n Combine like terms: -1n + n = 0 3m + 0 = 3 + n + n 3m = 3 + n + n Combine like terms: n + n = 2n 3m = 3 + 2n Divide each side by '3'. m = 1 + 0.6666666667n Simplifying m = 1 + 0.6666666667n
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