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Simplifying In(x + 3) + -4 = In(x + -5) Reorder the terms: nI(3 + x) + -4 = In(x + -5) (3 * nI + x * nI) + -4 = In(x + -5) (3nI + nxI) + -4 = In(x + -5) Reorder the terms: -4 + 3nI + nxI = In(x + -5) Reorder the terms: -4 + 3nI + nxI = nI(-5 + x) -4 + 3nI + nxI = (-5 * nI + x * nI) -4 + 3nI + nxI = (-5nI + nxI) Add '-1nxI' to each side of the equation. -4 + 3nI + nxI + -1nxI = -5nI + nxI + -1nxI Combine like terms: nxI + -1nxI = 0 -4 + 3nI + 0 = -5nI + nxI + -1nxI -4 + 3nI = -5nI + nxI + -1nxI Combine like terms: nxI + -1nxI = 0 -4 + 3nI = -5nI + 0 -4 + 3nI = -5nI Solving -4 + 3nI = -5nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5nI' to each side of the equation. -4 + 3nI + 5nI = -5nI + 5nI Combine like terms: 3nI + 5nI = 8nI -4 + 8nI = -5nI + 5nI Combine like terms: -5nI + 5nI = 0 -4 + 8nI = 0 Add '4' to each side of the equation. -4 + 4 + 8nI = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 8nI = 0 + 4 8nI = 0 + 4 Combine like terms: 0 + 4 = 4 8nI = 4 Divide each side by '8I'. n = 0.5I-1 Simplifying n = 0.5I-1
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