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Simplifying 8log(-3n + -3) + 10 = 18 Reorder the terms: 8glo(-3 + -3n) + 10 = 18 (-3 * 8glo + -3n * 8glo) + 10 = 18 Reorder the terms: (-24glno + -24glo) + 10 = 18 (-24glno + -24glo) + 10 = 18 Reorder the terms: 10 + -24glno + -24glo = 18 Solving 10 + -24glno + -24glo = 18 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -24glno + -10 + -24glo = 18 + -10 Reorder the terms: 10 + -10 + -24glno + -24glo = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -24glno + -24glo = 18 + -10 -24glno + -24glo = 18 + -10 Combine like terms: 18 + -10 = 8 -24glno + -24glo = 8 Reorder the terms: -8 + -24glno + -24glo = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -24glno + -24glo = 0 Factor out the Greatest Common Factor (GCF), '-8'. -8(1 + 3glno + 3glo) = 0 Ignore the factor -8.Subproblem 1
Set the factor '(1 + 3glno + 3glo)' equal to zero and attempt to solve: Simplifying 1 + 3glno + 3glo = 0 Solving 1 + 3glno + 3glo = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3glno + -1 + 3glo = 0 + -1 Reorder the terms: 1 + -1 + 3glno + 3glo = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3glno + 3glo = 0 + -1 3glno + 3glo = 0 + -1 Combine like terms: 0 + -1 = -1 3glno + 3glo = -1 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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