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Simplifying log17(2 + -1b) = log17(b + 6) (2 * g17lo + -1b * g17lo) = log17(b + 6) Reorder the terms: (-1bg17lo + 2g17lo) = log17(b + 6) (-1bg17lo + 2g17lo) = log17(b + 6) Reorder the terms: -1bg17lo + 2g17lo = g17lo(6 + b) -1bg17lo + 2g17lo = (6 * g17lo + b * g17lo) Reorder the terms: -1bg17lo + 2g17lo = (bg17lo + 6g17lo) -1bg17lo + 2g17lo = (bg17lo + 6g17lo) Solving -1bg17lo + 2g17lo = bg17lo + 6g17lo Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1bg17lo' to each side of the equation. -1bg17lo + -1bg17lo + 2g17lo = bg17lo + -1bg17lo + 6g17lo Combine like terms: -1bg17lo + -1bg17lo = -2bg17lo -2bg17lo + 2g17lo = bg17lo + -1bg17lo + 6g17lo Combine like terms: bg17lo + -1bg17lo = 0 -2bg17lo + 2g17lo = 0 + 6g17lo -2bg17lo + 2g17lo = 6g17lo Add '-2g17lo' to each side of the equation. -2bg17lo + 2g17lo + -2g17lo = 6g17lo + -2g17lo Combine like terms: 2g17lo + -2g17lo = 0 -2bg17lo + 0 = 6g17lo + -2g17lo -2bg17lo = 6g17lo + -2g17lo Combine like terms: 6g17lo + -2g17lo = 4g17lo -2bg17lo = 4g17lo Divide each side by '-2g17lo'. b = -2 Simplifying b = -2
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