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Simplifying 7m + 9n + -5(9m + -6n) = 0 7m + 9n + (9m * -5 + -6n * -5) = 0 7m + 9n + (-45m + 30n) = 0 Reorder the terms: 7m + -45m + 9n + 30n = 0 Combine like terms: 7m + -45m = -38m -38m + 9n + 30n = 0 Combine like terms: 9n + 30n = 39n -38m + 39n = 0 Solving -38m + 39n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-39n' to each side of the equation. -38m + 39n + -39n = 0 + -39n Combine like terms: 39n + -39n = 0 -38m + 0 = 0 + -39n -38m = 0 + -39n Remove the zero: -38m = -39n Divide each side by '-38'. m = 1.026315789n Simplifying m = 1.026315789n
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