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Simplifying log(3) * 3x + -8 = log(3) * 2x + 8 Reorder the terms for easier multiplication: 3 * 3glo * x + -8 = log(3) * 2x + 8 Multiply 3 * 3 9glo * x + -8 = log(3) * 2x + 8 Multiply glo * x 9glox + -8 = log(3) * 2x + 8 Reorder the terms: -8 + 9glox = log(3) * 2x + 8 Reorder the terms for easier multiplication: -8 + 9glox = 3 * 2glo * x + 8 Multiply 3 * 2 -8 + 9glox = 6glo * x + 8 Multiply glo * x -8 + 9glox = 6glox + 8 Reorder the terms: -8 + 9glox = 8 + 6glox Solving -8 + 9glox = 8 + 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glox' to each side of the equation. -8 + 9glox + -6glox = 8 + 6glox + -6glox Combine like terms: 9glox + -6glox = 3glox -8 + 3glox = 8 + 6glox + -6glox Combine like terms: 6glox + -6glox = 0 -8 + 3glox = 8 + 0 -8 + 3glox = 8 Add '8' to each side of the equation. -8 + 8 + 3glox = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 3glox = 8 + 8 3glox = 8 + 8 Combine like terms: 8 + 8 = 16 3glox = 16 Divide each side by '3lox'. g = 5.333333333l-1o-1x-1 Simplifying g = 5.333333333l-1o-1x-1
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