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Simplifying 4x + -2ln(8) = ln(64) Reorder the terms for easier multiplication: 4x + -2 * 8ln = ln(64) Multiply -2 * 8 4x + -16ln = ln(64) Reorder the terms: -16ln + 4x = ln(64) Reorder the terms for easier multiplication: -16ln + 4x = 64ln Solving -16ln + 4x = 64ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-64ln' to each side of the equation. -16ln + -64ln + 4x = 64ln + -64ln Combine like terms: -16ln + -64ln = -80ln -80ln + 4x = 64ln + -64ln Combine like terms: 64ln + -64ln = 0 -80ln + 4x = 0 Add '-4x' to each side of the equation. -80ln + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 -80ln + 0 = 0 + -4x -80ln = 0 + -4x Remove the zero: -80ln = -4x Divide each side by '-80n'. l = 0.05n-1x Simplifying l = 0.05n-1x
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