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Simplifying 15m + 12 + 51n + 3m + -3n = 0 Reorder the terms: 12 + 15m + 3m + 51n + -3n = 0 Combine like terms: 15m + 3m = 18m 12 + 18m + 51n + -3n = 0 Combine like terms: 51n + -3n = 48n 12 + 18m + 48n = 0 Solving 12 + 18m + 48n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 18m + -12 + 48n = 0 + -12 Reorder the terms: 12 + -12 + 18m + 48n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 18m + 48n = 0 + -12 18m + 48n = 0 + -12 Combine like terms: 0 + -12 = -12 18m + 48n = -12 Add '-48n' to each side of the equation. 18m + 48n + -48n = -12 + -48n Combine like terms: 48n + -48n = 0 18m + 0 = -12 + -48n 18m = -12 + -48n Divide each side by '18'. m = -0.6666666667 + -2.666666667n Simplifying m = -0.6666666667 + -2.666666667n
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