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Simplifying (3m + -7n) + (-10m + 2n) = 0 Remove parenthesis around (3m + -7n) 3m + -7n + (-10m + 2n) = 0 Remove parenthesis around (-10m + 2n) 3m + -7n + -10m + 2n = 0 Reorder the terms: 3m + -10m + -7n + 2n = 0 Combine like terms: 3m + -10m = -7m -7m + -7n + 2n = 0 Combine like terms: -7n + 2n = -5n -7m + -5n = 0 Solving -7m + -5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. -7m + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 -7m + 0 = 0 + 5n -7m = 0 + 5n Remove the zero: -7m = 5n Divide each side by '-7'. m = -0.7142857143n Simplifying m = -0.7142857143n
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