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Simplifying log(3)(-3x + -2) = 4 + log(3)(3x + -2) Reorder the terms: glo * 3(-2 + -3x) = 4 + log(3)(3x + -2) Reorder the terms for easier multiplication: 3glo(-2 + -3x) = 4 + log(3)(3x + -2) (-2 * 3glo + -3x * 3glo) = 4 + log(3)(3x + -2) (-6glo + -9glox) = 4 + log(3)(3x + -2) Reorder the terms: -6glo + -9glox = 4 + glo * 3(-2 + 3x) Reorder the terms for easier multiplication: -6glo + -9glox = 4 + 3glo(-2 + 3x) -6glo + -9glox = 4 + (-2 * 3glo + 3x * 3glo) -6glo + -9glox = 4 + (-6glo + 9glox) Add '6glo' to each side of the equation. -6glo + 6glo + -9glox = 4 + -6glo + 6glo + 9glox Combine like terms: -6glo + 6glo = 0 0 + -9glox = 4 + -6glo + 6glo + 9glox -9glox = 4 + -6glo + 6glo + 9glox Combine like terms: -6glo + 6glo = 0 -9glox = 4 + 0 + 9glox -9glox = 4 + 9glox Solving -9glox = 4 + 9glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glox' to each side of the equation. -9glox + -9glox = 4 + 9glox + -9glox Combine like terms: -9glox + -9glox = -18glox -18glox = 4 + 9glox + -9glox Combine like terms: 9glox + -9glox = 0 -18glox = 4 + 0 -18glox = 4 Divide each side by '-18lox'. g = -0.2222222222l-1o-1x-1 Simplifying g = -0.2222222222l-1o-1x-1
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