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Simplifying 8m + -1[4n + -1(-3m + 3n) + m] = 0 8m + -1[4n + (-3m * -1 + 3n * -1) + m] = 0 8m + -1[4n + (3m + -3n) + m] = 0 Reorder the terms: 8m + -1[3m + m + 4n + -3n] = 0 Combine like terms: 3m + m = 4m 8m + -1[4m + 4n + -3n] = 0 Combine like terms: 4n + -3n = 1n 8m + -1[4m + 1n] = 0 8m + [4m * -1 + 1n * -1] = 0 8m + [-4m + -1n] = 0 Combine like terms: 8m + -4m = 4m 4m + -1n = 0 Solving 4m + -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. 4m + -1n + n = 0 + n Combine like terms: -1n + n = 0 4m + 0 = 0 + n 4m = 0 + n Remove the zero: 4m = n Divide each side by '4'. m = 0.25n Simplifying m = 0.25n
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