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Simplifying -5m + -3n + 6n = 2m + 2n + -8 Combine like terms: -3n + 6n = 3n -5m + 3n = 2m + 2n + -8 Reorder the terms: -5m + 3n = -8 + 2m + 2n Solving -5m + 3n = -8 + 2m + 2n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -5m + -2m + 3n = -8 + 2m + -2m + 2n Combine like terms: -5m + -2m = -7m -7m + 3n = -8 + 2m + -2m + 2n Combine like terms: 2m + -2m = 0 -7m + 3n = -8 + 0 + 2n -7m + 3n = -8 + 2n Add '-3n' to each side of the equation. -7m + 3n + -3n = -8 + 2n + -3n Combine like terms: 3n + -3n = 0 -7m + 0 = -8 + 2n + -3n -7m = -8 + 2n + -3n Combine like terms: 2n + -3n = -1n -7m = -8 + -1n Divide each side by '-7'. m = 1.142857143 + 0.1428571429n Simplifying m = 1.142857143 + 0.1428571429n
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