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Simplifying -1log3(x + 6) = 2 + -1log3(x + -2) Reorder the terms: -1g3lo(6 + x) = 2 + -1log3(x + -2) (6 * -1g3lo + x * -1g3lo) = 2 + -1log3(x + -2) (-6g3lo + -1g3lox) = 2 + -1log3(x + -2) Reorder the terms: -6g3lo + -1g3lox = 2 + -1g3lo(-2 + x) -6g3lo + -1g3lox = 2 + (-2 * -1g3lo + x * -1g3lo) -6g3lo + -1g3lox = 2 + (2g3lo + -1g3lox) Add 'g3lox' to each side of the equation. -6g3lo + -1g3lox + g3lox = 2 + 2g3lo + -1g3lox + g3lox Combine like terms: -1g3lox + g3lox = 0 -6g3lo + 0 = 2 + 2g3lo + -1g3lox + g3lox -6g3lo = 2 + 2g3lo + -1g3lox + g3lox Combine like terms: -1g3lox + g3lox = 0 -6g3lo = 2 + 2g3lo + 0 -6g3lo = 2 + 2g3lo Solving -6g3lo = 2 + 2g3lo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2g3lo' to each side of the equation. -6g3lo + -2g3lo = 2 + 2g3lo + -2g3lo Combine like terms: -6g3lo + -2g3lo = -8g3lo -8g3lo = 2 + 2g3lo + -2g3lo Combine like terms: 2g3lo + -2g3lo = 0 -8g3lo = 2 + 0 -8g3lo = 2 Divide each side by '-8lo'. g3 = -0.25l-1o-1 Simplifying g3 = -0.25l-1o-1 Combine like terms: -0.25l-1o-1 + 0.25l-1o-1 = 0.00 g3 + 0.25l-1o-1 = 0.00 The solution to this equation could not be determined.
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