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Simplifying 7m + 3n + -7(7m + -6n) = 0 7m + 3n + (7m * -7 + -6n * -7) = 0 7m + 3n + (-49m + 42n) = 0 Reorder the terms: 7m + -49m + 3n + 42n = 0 Combine like terms: 7m + -49m = -42m -42m + 3n + 42n = 0 Combine like terms: 3n + 42n = 45n -42m + 45n = 0 Solving -42m + 45n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-45n' to each side of the equation. -42m + 45n + -45n = 0 + -45n Combine like terms: 45n + -45n = 0 -42m + 0 = 0 + -45n -42m = 0 + -45n Remove the zero: -42m = -45n Divide each side by '-42'. m = 1.071428571n Simplifying m = 1.071428571n
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