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Simplifying x + -2ln(x + 2) + ln(c) = lny Reorder the terms: x + -2ln(2 + x) + ln(c) = lny x + (2 * -2ln + x * -2ln) + ln(c) = lny x + (-4ln + -2lnx) + ln(c) = lny Multiply ln * c x + -4ln + -2lnx + cln = lny Reorder the terms: cln + -4ln + -2lnx + x = lny Solving cln + -4ln + -2lnx + x = lny Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4ln' to each side of the equation. cln + -4ln + -2lnx + 4ln + x = 4ln + lny Reorder the terms: cln + -4ln + 4ln + -2lnx + x = 4ln + lny Combine like terms: -4ln + 4ln = 0 cln + 0 + -2lnx + x = 4ln + lny cln + -2lnx + x = 4ln + lny Add '2lnx' to each side of the equation. cln + -2lnx + 2lnx + x = 4ln + 2lnx + lny Combine like terms: -2lnx + 2lnx = 0 cln + 0 + x = 4ln + 2lnx + lny cln + x = 4ln + 2lnx + lny Add '-1x' to each side of the equation. cln + x + -1x = 4ln + 2lnx + lny + -1x Combine like terms: x + -1x = 0 cln + 0 = 4ln + 2lnx + lny + -1x cln = 4ln + 2lnx + lny + -1x Divide each side by 'ln'. c = 4 + 2x + y + -1l-1n-1x Simplifying c = 4 + 2x + y + -1l-1n-1x Reorder the terms: c = 4 + -1l-1n-1x + 2x + y
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