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Simplifying 6n(m + -4) + -12nm = 0 Reorder the terms: 6n(-4 + m) + -12nm = 0 (-4 * 6n + m * 6n) + -12nm = 0 Reorder the terms: (6mn + -24n) + -12nm = 0 (6mn + -24n) + -12nm = 0 Reorder the terms: 6mn + -12mn + -24n = 0 Combine like terms: 6mn + -12mn = -6mn -6mn + -24n = 0 Solving -6mn + -24n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24n' to each side of the equation. -6mn + -24n + 24n = 0 + 24n Combine like terms: -24n + 24n = 0 -6mn + 0 = 0 + 24n -6mn = 0 + 24n Remove the zero: -6mn = 24n Divide each side by '-6n'. m = -4 Simplifying m = -4
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