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Simplifying -6log3(x + -3) = -24 Reorder the terms: -6g3lo(-3 + x) = -24 (-3 * -6g3lo + x * -6g3lo) = -24 (18g3lo + -6g3lox) = -24 Solving 18g3lo + -6g3lox = -24 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: 24 + 18g3lo + -6g3lox = -24 + 24 Combine like terms: -24 + 24 = 0 24 + 18g3lo + -6g3lox = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(4 + 3g3lo + -1g3lox) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(4 + 3g3lo + -1g3lox)' equal to zero and attempt to solve: Simplifying 4 + 3g3lo + -1g3lox = 0 Solving 4 + 3g3lo + -1g3lox = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3g3lo + -4 + -1g3lox = 0 + -4 Reorder the terms: 4 + -4 + 3g3lo + -1g3lox = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3g3lo + -1g3lox = 0 + -4 3g3lo + -1g3lox = 0 + -4 Combine like terms: 0 + -4 = -4 3g3lo + -1g3lox = -4 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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