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Simplifying x2 + kx + 16 = -32 Reorder the terms: 16 + kx + x2 = -32 Solving 16 + kx + x2 = -32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + kx + -16 + x2 = -32 + -16 Reorder the terms: 16 + -16 + kx + x2 = -32 + -16 Combine like terms: 16 + -16 = 0 0 + kx + x2 = -32 + -16 kx + x2 = -32 + -16 Combine like terms: -32 + -16 = -48 kx + x2 = -48 Add '-1x2' to each side of the equation. kx + x2 + -1x2 = -48 + -1x2 Combine like terms: x2 + -1x2 = 0 kx + 0 = -48 + -1x2 kx = -48 + -1x2 Divide each side by 'x'. k = -48x-1 + -1x Simplifying k = -48x-1 + -1x
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