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Simplifying 35 + -4ln(2m + 16) = 7 Reorder the terms: 35 + -4ln(16 + 2m) = 7 35 + (16 * -4ln + 2m * -4ln) = 7 Reorder the terms: 35 + (-8lmn + -64ln) = 7 35 + (-8lmn + -64ln) = 7 Solving 35 + -8lmn + -64ln = 7 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -8lmn + -35 + -64ln = 7 + -35 Reorder the terms: 35 + -35 + -8lmn + -64ln = 7 + -35 Combine like terms: 35 + -35 = 0 0 + -8lmn + -64ln = 7 + -35 -8lmn + -64ln = 7 + -35 Combine like terms: 7 + -35 = -28 -8lmn + -64ln = -28 Reorder the terms: 28 + -8lmn + -64ln = -28 + 28 Combine like terms: -28 + 28 = 0 28 + -8lmn + -64ln = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(7 + -2lmn + -16ln) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(7 + -2lmn + -16ln)' equal to zero and attempt to solve: Simplifying 7 + -2lmn + -16ln = 0 Solving 7 + -2lmn + -16ln = 0 Move all terms containing l to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -2lmn + -7 + -16ln = 0 + -7 Reorder the terms: 7 + -7 + -2lmn + -16ln = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2lmn + -16ln = 0 + -7 -2lmn + -16ln = 0 + -7 Combine like terms: 0 + -7 = -7 -2lmn + -16ln = -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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