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Simplifying 47 + 3m + 2n = 0 Solving 47 + 3m + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + 3m + -47 + 2n = 0 + -47 Reorder the terms: 47 + -47 + 3m + 2n = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 3m + 2n = 0 + -47 3m + 2n = 0 + -47 Combine like terms: 0 + -47 = -47 3m + 2n = -47 Add '-2n' to each side of the equation. 3m + 2n + -2n = -47 + -2n Combine like terms: 2n + -2n = 0 3m + 0 = -47 + -2n 3m = -47 + -2n Divide each side by '3'. m = -15.66666667 + -0.6666666667n Simplifying m = -15.66666667 + -0.6666666667n
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