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Simplifying 16ln(8w + -4) + 8 = 20 Reorder the terms: 16ln(-4 + 8w) + 8 = 20 (-4 * 16ln + 8w * 16ln) + 8 = 20 (-64ln + 128lnw) + 8 = 20 Reorder the terms: 8 + -64ln + 128lnw = 20 Solving 8 + -64ln + 128lnw = 20 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -64ln + -8 + 128lnw = 20 + -8 Reorder the terms: 8 + -8 + -64ln + 128lnw = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -64ln + 128lnw = 20 + -8 -64ln + 128lnw = 20 + -8 Combine like terms: 20 + -8 = 12 -64ln + 128lnw = 12 Reorder the terms: -12 + -64ln + 128lnw = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -64ln + 128lnw = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-3 + -16ln + 32lnw) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -16ln + 32lnw)' equal to zero and attempt to solve: Simplifying -3 + -16ln + 32lnw = 0 Solving -3 + -16ln + 32lnw = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -16ln + 3 + 32lnw = 0 + 3 Reorder the terms: -3 + 3 + -16ln + 32lnw = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -16ln + 32lnw = 0 + 3 -16ln + 32lnw = 0 + 3 Combine like terms: 0 + 3 = 3 -16ln + 32lnw = 3 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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