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Simplifying (m + 3n) + -1(5m + 7n) = 0 Remove parenthesis around (m + 3n) m + 3n + -1(5m + 7n) = 0 m + 3n + (5m * -1 + 7n * -1) = 0 m + 3n + (-5m + -7n) = 0 Reorder the terms: m + -5m + 3n + -7n = 0 Combine like terms: m + -5m = -4m -4m + 3n + -7n = 0 Combine like terms: 3n + -7n = -4n -4m + -4n = 0 Solving -4m + -4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4n' to each side of the equation. -4m + -4n + 4n = 0 + 4n Combine like terms: -4n + 4n = 0 -4m + 0 = 0 + 4n -4m = 0 + 4n Remove the zero: -4m = 4n Divide each side by '-4'. m = -1n Simplifying m = -1n
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