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Simplifying 3ln(8x + -7) + -14 = 7 Reorder the terms: 3ln(-7 + 8x) + -14 = 7 (-7 * 3ln + 8x * 3ln) + -14 = 7 (-21ln + 24lnx) + -14 = 7 Reorder the terms: -14 + -21ln + 24lnx = 7 Solving -14 + -21ln + 24lnx = 7 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -21ln + 14 + 24lnx = 7 + 14 Reorder the terms: -14 + 14 + -21ln + 24lnx = 7 + 14 Combine like terms: -14 + 14 = 0 0 + -21ln + 24lnx = 7 + 14 -21ln + 24lnx = 7 + 14 Combine like terms: 7 + 14 = 21 -21ln + 24lnx = 21 Reorder the terms: -21 + -21ln + 24lnx = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + -21ln + 24lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + -7ln + 8lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + -7ln + 8lnx)' equal to zero and attempt to solve: Simplifying -7 + -7ln + 8lnx = 0 Solving -7 + -7ln + 8lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -7ln + 7 + 8lnx = 0 + 7 Reorder the terms: -7 + 7 + -7ln + 8lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -7ln + 8lnx = 0 + 7 -7ln + 8lnx = 0 + 7 Combine like terms: 0 + 7 = 7 -7ln + 8lnx = 7 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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