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Simplifying (5m + -6n) + -1(-2m + -7) = 0 Remove parenthesis around (5m + -6n) 5m + -6n + -1(-2m + -7) = 0 Reorder the terms: 5m + -6n + -1(-7 + -2m) = 0 5m + -6n + (-7 * -1 + -2m * -1) = 0 5m + -6n + (7 + 2m) = 0 Reorder the terms: 7 + 5m + 2m + -6n = 0 Combine like terms: 5m + 2m = 7m 7 + 7m + -6n = 0 Solving 7 + 7m + -6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 7m + -7 + -6n = 0 + -7 Reorder the terms: 7 + -7 + 7m + -6n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7m + -6n = 0 + -7 7m + -6n = 0 + -7 Combine like terms: 0 + -7 = -7 7m + -6n = -7 Add '6n' to each side of the equation. 7m + -6n + 6n = -7 + 6n Combine like terms: -6n + 6n = 0 7m + 0 = -7 + 6n 7m = -7 + 6n Divide each side by '7'. m = -1 + 0.8571428571n Simplifying m = -1 + 0.8571428571n
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