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Simplifying 6m + -10n + -4m + -2n + 5 = 0 Reorder the terms: 5 + 6m + -4m + -10n + -2n = 0 Combine like terms: 6m + -4m = 2m 5 + 2m + -10n + -2n = 0 Combine like terms: -10n + -2n = -12n 5 + 2m + -12n = 0 Solving 5 + 2m + -12n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2m + -5 + -12n = 0 + -5 Reorder the terms: 5 + -5 + 2m + -12n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2m + -12n = 0 + -5 2m + -12n = 0 + -5 Combine like terms: 0 + -5 = -5 2m + -12n = -5 Add '12n' to each side of the equation. 2m + -12n + 12n = -5 + 12n Combine like terms: -12n + 12n = 0 2m + 0 = -5 + 12n 2m = -5 + 12n Divide each side by '2'. m = -2.5 + 6n Simplifying m = -2.5 + 6n
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