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Simplifying 7 = 4ln(X + 6) Reorder the terms: 7 = 4ln(6 + X) 7 = (6 * 4ln + X * 4ln) 7 = (24ln + 4lnX) Solving 7 = 24ln + 4lnX Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-24ln' to each side of the equation. 7 + -24ln = 24ln + -24ln + 4lnX Combine like terms: 24ln + -24ln = 0 7 + -24ln = 0 + 4lnX 7 + -24ln = 4lnX Add '-4lnX' to each side of the equation. 7 + -24ln + -4lnX = 4lnX + -4lnX Combine like terms: 4lnX + -4lnX = 0 7 + -24ln + -4lnX = 0 Add '-7' to each side of the equation. 7 + -24ln + -7 + -4lnX = 0 + -7 Reorder the terms: 7 + -7 + -24ln + -4lnX = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -24ln + -4lnX = 0 + -7 -24ln + -4lnX = 0 + -7 Combine like terms: 0 + -7 = -7 -24ln + -4lnX = -7 Reorder the terms: 7 + -24ln + -4lnX = -7 + 7 Combine like terms: -7 + 7 = 0 7 + -24ln + -4lnX = 0 The solution to this equation could not be determined.
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