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Simplifying 2(7m + -6n) + -1(4m + 5y) = 0 (7m * 2 + -6n * 2) + -1(4m + 5y) = 0 (14m + -12n) + -1(4m + 5y) = 0 14m + -12n + (4m * -1 + 5y * -1) = 0 14m + -12n + (-4m + -5y) = 0 Reorder the terms: 14m + -4m + -12n + -5y = 0 Combine like terms: 14m + -4m = 10m 10m + -12n + -5y = 0 Solving 10m + -12n + -5y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12n' to each side of the equation. 10m + -12n + 12n + -5y = 0 + 12n Combine like terms: -12n + 12n = 0 10m + 0 + -5y = 0 + 12n 10m + -5y = 0 + 12n Remove the zero: 10m + -5y = 12n Add '5y' to each side of the equation. 10m + -5y + 5y = 12n + 5y Combine like terms: -5y + 5y = 0 10m + 0 = 12n + 5y 10m = 12n + 5y Divide each side by '10'. m = 1.2n + 0.5y Simplifying m = 1.2n + 0.5y
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