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Simplifying 20m + 12n + -5m + 13n + 65 = 0 Reorder the terms: 65 + 20m + -5m + 12n + 13n = 0 Combine like terms: 20m + -5m = 15m 65 + 15m + 12n + 13n = 0 Combine like terms: 12n + 13n = 25n 65 + 15m + 25n = 0 Solving 65 + 15m + 25n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + 15m + -65 + 25n = 0 + -65 Reorder the terms: 65 + -65 + 15m + 25n = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 15m + 25n = 0 + -65 15m + 25n = 0 + -65 Combine like terms: 0 + -65 = -65 15m + 25n = -65 Add '-25n' to each side of the equation. 15m + 25n + -25n = -65 + -25n Combine like terms: 25n + -25n = 0 15m + 0 = -65 + -25n 15m = -65 + -25n Divide each side by '15'. m = -4.333333333 + -1.666666667n Simplifying m = -4.333333333 + -1.666666667n
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