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Simplifying 8m + -3n + 7n + -12m = 0 Reorder the terms: 8m + -12m + -3n + 7n = 0 Combine like terms: 8m + -12m = -4m -4m + -3n + 7n = 0 Combine like terms: -3n + 7n = 4n -4m + 4n = 0 Solving -4m + 4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. -4m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 -4m + 0 = 0 + -4n -4m = 0 + -4n Remove the zero: -4m = -4n Divide each side by '-4'. m = n Simplifying m = n
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