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Simplifying (8m + -6n) + -1(7m + -5n) = 0 Remove parenthesis around (8m + -6n) 8m + -6n + -1(7m + -5n) = 0 8m + -6n + (7m * -1 + -5n * -1) = 0 8m + -6n + (-7m + 5n) = 0 Reorder the terms: 8m + -7m + -6n + 5n = 0 Combine like terms: 8m + -7m = 1m 1m + -6n + 5n = 0 Combine like terms: -6n + 5n = -1n 1m + -1n = 0 Solving 1m + -1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 1m + -1n + n = 0 + n Combine like terms: -1n + n = 0 1m + 0 = 0 + n 1m = 0 + n Remove the zero: 1m = n Divide each side by '1'. m = n Simplifying m = n
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