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Simplifying (mn + -3)(4x) + -3(2x + -4) = 0 Reorder the terms: (-3 + mn)(4x) + -3(2x + -4) = 0 Remove parenthesis around (4x) (-3 + mn) * 4x + -3(2x + -4) = 0 Reorder the terms for easier multiplication: 4x(-3 + mn) + -3(2x + -4) = 0 (-3 * 4x + mn * 4x) + -3(2x + -4) = 0 Reorder the terms: (4mnx + -12x) + -3(2x + -4) = 0 (4mnx + -12x) + -3(2x + -4) = 0 Reorder the terms: 4mnx + -12x + -3(-4 + 2x) = 0 4mnx + -12x + (-4 * -3 + 2x * -3) = 0 4mnx + -12x + (12 + -6x) = 0 Reorder the terms: 12 + 4mnx + -12x + -6x = 0 Combine like terms: -12x + -6x = -18x 12 + 4mnx + -18x = 0 Solving 12 + 4mnx + -18x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4mnx + -12 + -18x = 0 + -12 Reorder the terms: 12 + -12 + 4mnx + -18x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4mnx + -18x = 0 + -12 4mnx + -18x = 0 + -12 Combine like terms: 0 + -12 = -12 4mnx + -18x = -12 Add '18x' to each side of the equation. 4mnx + -18x + 18x = -12 + 18x Combine like terms: -18x + 18x = 0 4mnx + 0 = -12 + 18x 4mnx = -12 + 18x Divide each side by '4nx'. m = -3n-1x-1 + 4.5n-1 Simplifying m = -3n-1x-1 + 4.5n-1 Reorder the terms: m = 4.5n-1 + -3n-1x-1
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