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Simplifying 10m + 90 + 65n + 13m + -13n = 0 Reorder the terms: 90 + 10m + 13m + 65n + -13n = 0 Combine like terms: 10m + 13m = 23m 90 + 23m + 65n + -13n = 0 Combine like terms: 65n + -13n = 52n 90 + 23m + 52n = 0 Solving 90 + 23m + 52n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + 23m + -90 + 52n = 0 + -90 Reorder the terms: 90 + -90 + 23m + 52n = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 23m + 52n = 0 + -90 23m + 52n = 0 + -90 Combine like terms: 0 + -90 = -90 23m + 52n = -90 Add '-52n' to each side of the equation. 23m + 52n + -52n = -90 + -52n Combine like terms: 52n + -52n = 0 23m + 0 = -90 + -52n 23m = -90 + -52n Divide each side by '23'. m = -3.913043478 + -2.260869565n Simplifying m = -3.913043478 + -2.260869565n
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