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Simplifying log7(5 + -4a) = log7(5a + -4) (5 * g7lo + -4a * g7lo) = log7(5a + -4) Reorder the terms: (-4ag7lo + 5g7lo) = log7(5a + -4) (-4ag7lo + 5g7lo) = log7(5a + -4) Reorder the terms: -4ag7lo + 5g7lo = g7lo(-4 + 5a) -4ag7lo + 5g7lo = (-4 * g7lo + 5a * g7lo) Reorder the terms: -4ag7lo + 5g7lo = (5ag7lo + -4g7lo) -4ag7lo + 5g7lo = (5ag7lo + -4g7lo) Solving -4ag7lo + 5g7lo = 5ag7lo + -4g7lo Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5ag7lo' to each side of the equation. -4ag7lo + -5ag7lo + 5g7lo = 5ag7lo + -5ag7lo + -4g7lo Combine like terms: -4ag7lo + -5ag7lo = -9ag7lo -9ag7lo + 5g7lo = 5ag7lo + -5ag7lo + -4g7lo Combine like terms: 5ag7lo + -5ag7lo = 0 -9ag7lo + 5g7lo = 0 + -4g7lo -9ag7lo + 5g7lo = -4g7lo Add '-5g7lo' to each side of the equation. -9ag7lo + 5g7lo + -5g7lo = -4g7lo + -5g7lo Combine like terms: 5g7lo + -5g7lo = 0 -9ag7lo + 0 = -4g7lo + -5g7lo -9ag7lo = -4g7lo + -5g7lo Combine like terms: -4g7lo + -5g7lo = -9g7lo -9ag7lo = -9g7lo Divide each side by '-9g7lo'. a = 1 Simplifying a = 1
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