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