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Simplifying 3x4 + 4x3 + -12x2 + k = 0 Reorder the terms: k + -12x2 + 4x3 + 3x4 = 0 Solving k + -12x2 + 4x3 + 3x4 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12x2' to each side of the equation. k + -12x2 + 4x3 + 12x2 + 3x4 = 0 + 12x2 Reorder the terms: k + -12x2 + 12x2 + 4x3 + 3x4 = 0 + 12x2 Combine like terms: -12x2 + 12x2 = 0 k + 0 + 4x3 + 3x4 = 0 + 12x2 k + 4x3 + 3x4 = 0 + 12x2 Remove the zero: k + 4x3 + 3x4 = 12x2 Add '-4x3' to each side of the equation. k + 4x3 + -4x3 + 3x4 = 12x2 + -4x3 Combine like terms: 4x3 + -4x3 = 0 k + 0 + 3x4 = 12x2 + -4x3 k + 3x4 = 12x2 + -4x3 Add '-3x4' to each side of the equation. k + 3x4 + -3x4 = 12x2 + -4x3 + -3x4 Combine like terms: 3x4 + -3x4 = 0 k + 0 = 12x2 + -4x3 + -3x4 k = 12x2 + -4x3 + -3x4 Simplifying k = 12x2 + -4x3 + -3x4
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