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Simplifying 10(5m + 2n + -3p + -1x + y) = 0 (5m * 10 + 2n * 10 + -3p * 10 + -1x * 10 + y * 10) = 0 (50m + 20n + -30p + -10x + 10y) = 0 Solving 50m + 20n + -30p + -10x + 10y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20n' to each side of the equation. 50m + 20n + -30p + -10x + -20n + 10y = 0 + -20n Reorder the terms: 50m + 20n + -20n + -30p + -10x + 10y = 0 + -20n Combine like terms: 20n + -20n = 0 50m + 0 + -30p + -10x + 10y = 0 + -20n 50m + -30p + -10x + 10y = 0 + -20n Remove the zero: 50m + -30p + -10x + 10y = -20n Add '30p' to each side of the equation. 50m + -30p + -10x + 30p + 10y = -20n + 30p Reorder the terms: 50m + -30p + 30p + -10x + 10y = -20n + 30p Combine like terms: -30p + 30p = 0 50m + 0 + -10x + 10y = -20n + 30p 50m + -10x + 10y = -20n + 30p Add '10x' to each side of the equation. 50m + -10x + 10x + 10y = -20n + 30p + 10x Combine like terms: -10x + 10x = 0 50m + 0 + 10y = -20n + 30p + 10x 50m + 10y = -20n + 30p + 10x Add '-10y' to each side of the equation. 50m + 10y + -10y = -20n + 30p + 10x + -10y Combine like terms: 10y + -10y = 0 50m + 0 = -20n + 30p + 10x + -10y 50m = -20n + 30p + 10x + -10y Divide each side by '50'. m = -0.4n + 0.6p + 0.2x + -0.2y Simplifying m = -0.4n + 0.6p + 0.2x + -0.2y
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