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Simplifying 5n + -6m + -3 = 6m + n Reorder the terms: -3 + -6m + 5n = 6m + n Solving -3 + -6m + 5n = 6m + n 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. -3 + -6m + -6m + 5n = 6m + -6m + n Combine like terms: -6m + -6m = -12m -3 + -12m + 5n = 6m + -6m + n Combine like terms: 6m + -6m = 0 -3 + -12m + 5n = 0 + n -3 + -12m + 5n = n Add '3' to each side of the equation. -3 + -12m + 3 + 5n = 3 + n Reorder the terms: -3 + 3 + -12m + 5n = 3 + n Combine like terms: -3 + 3 = 0 0 + -12m + 5n = 3 + n -12m + 5n = 3 + n Add '-5n' to each side of the equation. -12m + 5n + -5n = 3 + n + -5n Combine like terms: 5n + -5n = 0 -12m + 0 = 3 + n + -5n -12m = 3 + n + -5n Combine like terms: n + -5n = -4n -12m = 3 + -4n Divide each side by '-12'. m = -0.25 + 0.3333333333n Simplifying m = -0.25 + 0.3333333333n
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