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