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Simplifying 5m + -2n + 7 + 16n + -8m = 0 Reorder the terms: 7 + 5m + -8m + -2n + 16n = 0 Combine like terms: 5m + -8m = -3m 7 + -3m + -2n + 16n = 0 Combine like terms: -2n + 16n = 14n 7 + -3m + 14n = 0 Solving 7 + -3m + 14n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -3m + -7 + 14n = 0 + -7 Reorder the terms: 7 + -7 + -3m + 14n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m + 14n = 0 + -7 -3m + 14n = 0 + -7 Combine like terms: 0 + -7 = -7 -3m + 14n = -7 Add '-14n' to each side of the equation. -3m + 14n + -14n = -7 + -14n Combine like terms: 14n + -14n = 0 -3m + 0 = -7 + -14n -3m = -7 + -14n Divide each side by '-3'. m = 2.333333333 + 4.666666667n Simplifying m = 2.333333333 + 4.666666667n
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