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Simplifying 4x4 + -12x3 + 37x2 + -42x + k = 0 Reorder the terms: k + -42x + 37x2 + -12x3 + 4x4 = 0 Solving k + -42x + 37x2 + -12x3 + 4x4 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42x' to each side of the equation. k + -42x + 37x2 + -12x3 + 42x + 4x4 = 0 + 42x Reorder the terms: k + -42x + 42x + 37x2 + -12x3 + 4x4 = 0 + 42x Combine like terms: -42x + 42x = 0 k + 0 + 37x2 + -12x3 + 4x4 = 0 + 42x k + 37x2 + -12x3 + 4x4 = 0 + 42x Remove the zero: k + 37x2 + -12x3 + 4x4 = 42x Add '-37x2' to each side of the equation. k + 37x2 + -12x3 + -37x2 + 4x4 = 42x + -37x2 Reorder the terms: k + 37x2 + -37x2 + -12x3 + 4x4 = 42x + -37x2 Combine like terms: 37x2 + -37x2 = 0 k + 0 + -12x3 + 4x4 = 42x + -37x2 k + -12x3 + 4x4 = 42x + -37x2 Add '12x3' to each side of the equation. k + -12x3 + 12x3 + 4x4 = 42x + -37x2 + 12x3 Combine like terms: -12x3 + 12x3 = 0 k + 0 + 4x4 = 42x + -37x2 + 12x3 k + 4x4 = 42x + -37x2 + 12x3 Add '-4x4' to each side of the equation. k + 4x4 + -4x4 = 42x + -37x2 + 12x3 + -4x4 Combine like terms: 4x4 + -4x4 = 0 k + 0 = 42x + -37x2 + 12x3 + -4x4 k = 42x + -37x2 + 12x3 + -4x4 Simplifying k = 42x + -37x2 + 12x3 + -4x4
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