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Simplifying 7LN(7x + -3) + 5 = 19 Reorder the terms: 7LN(-3 + 7x) + 5 = 19 (-3 * 7LN + 7x * 7LN) + 5 = 19 (-21LN + 49xLN) + 5 = 19 Reorder the terms: 5 + -21LN + 49xLN = 19 Solving 5 + -21LN + 49xLN = 19 Solving for variable 'L'. Move all terms containing L to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -21LN + -5 + 49xLN = 19 + -5 Reorder the terms: 5 + -5 + -21LN + 49xLN = 19 + -5 Combine like terms: 5 + -5 = 0 0 + -21LN + 49xLN = 19 + -5 -21LN + 49xLN = 19 + -5 Combine like terms: 19 + -5 = 14 -21LN + 49xLN = 14 Reorder the terms: -14 + -21LN + 49xLN = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -21LN + 49xLN = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-2 + -3LN + 7xLN) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-2 + -3LN + 7xLN)' equal to zero and attempt to solve: Simplifying -2 + -3LN + 7xLN = 0 Solving -2 + -3LN + 7xLN = 0 Move all terms containing L to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3LN + 2 + 7xLN = 0 + 2 Reorder the terms: -2 + 2 + -3LN + 7xLN = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3LN + 7xLN = 0 + 2 -3LN + 7xLN = 0 + 2 Combine like terms: 0 + 2 = 2 -3LN + 7xLN = 2 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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