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Simplifying y + -7ln(y + 2) = x + -7ln(x + 6) Reorder the terms: y + -7ln(2 + y) = x + -7ln(x + 6) y + (2 * -7ln + y * -7ln) = x + -7ln(x + 6) y + (-14ln + -7lny) = x + -7ln(x + 6) Reorder the terms: -14ln + -7lny + y = x + -7ln(x + 6) Reorder the terms: -14ln + -7lny + y = x + -7ln(6 + x) -14ln + -7lny + y = x + (6 * -7ln + x * -7ln) -14ln + -7lny + y = x + (-42ln + -7lnx) Reorder the terms: -14ln + -7lny + y = -42ln + -7lnx + x Solving -14ln + -7lny + y = -42ln + -7lnx + x Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '42ln' to each side of the equation. -14ln + -7lny + 42ln + y = -42ln + -7lnx + 42ln + x Reorder the terms: -14ln + 42ln + -7lny + y = -42ln + -7lnx + 42ln + x Combine like terms: -14ln + 42ln = 28ln 28ln + -7lny + y = -42ln + -7lnx + 42ln + x Reorder the terms: 28ln + -7lny + y = -42ln + 42ln + -7lnx + x Combine like terms: -42ln + 42ln = 0 28ln + -7lny + y = 0 + -7lnx + x 28ln + -7lny + y = -7lnx + x Add '7lnx' to each side of the equation. 28ln + -7lny + 7lnx + y = -7lnx + 7lnx + x Reorder the terms: 28ln + 7lnx + -7lny + y = -7lnx + 7lnx + x Combine like terms: -7lnx + 7lnx = 0 28ln + 7lnx + -7lny + y = 0 + x 28ln + 7lnx + -7lny + y = x Add '-1y' to each side of the equation. 28ln + 7lnx + -7lny + y + -1y = x + -1y Combine like terms: y + -1y = 0 28ln + 7lnx + -7lny + 0 = x + -1y 28ln + 7lnx + -7lny = x + -1y Reorder the terms: 28ln + 7lnx + -7lny + -1x + y = x + -1x + -1y + y Combine like terms: x + -1x = 0 28ln + 7lnx + -7lny + -1x + y = 0 + -1y + y 28ln + 7lnx + -7lny + -1x + y = -1y + y Combine like terms: -1y + y = 0 28ln + 7lnx + -7lny + -1x + y = 0 The solution to this equation could not be determined.
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