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Simplifying 4m + -5n = 6m + 2n Solving 4m + -5n = 6m + 2n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 4m + -6m + -5n = 6m + -6m + 2n Combine like terms: 4m + -6m = -2m -2m + -5n = 6m + -6m + 2n Combine like terms: 6m + -6m = 0 -2m + -5n = 0 + 2n -2m + -5n = 2n Add '5n' to each side of the equation. -2m + -5n + 5n = 2n + 5n Combine like terms: -5n + 5n = 0 -2m + 0 = 2n + 5n -2m = 2n + 5n Combine like terms: 2n + 5n = 7n -2m = 7n Divide each side by '-2'. m = -3.5n Simplifying m = -3.5n
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