Solve the equation for the given variable. If your answer is a fraction, write it in reduced, fractional form. Do NOT convert the answer to a decimal. (w-1)/(5)-8=(w+1)/(2)

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Solve the equation for the given variable. If your answer is a fraction, write it in reduced, fractional form. Do NOT convert the answer to a decimal.  (w-1)/(5)-8=(w+1)/(2)

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Clear Fractions: First, we need to eliminate the fractions by finding a common denominator and multiplying each term by that common denominator to clear the fractions. The common denominator for 5 and 2 is 10. Multiply each term by 10 to clear the fractions: 10 * ((w-1)/5) - 10 * 8 = 10 * ((w+1)/2)Distribute Common Denominator: Now, distribute the 10 to each term: 10 * (w-1)/5 = 2 * (w-1) 10 * 8 = 80 10 * (w+1)/2 = 5 * (w+1)Simplify Equation: Simplify the equation: 2 * (w-1) - 80 = 5 * (w+1)Combine Like Terms: Distribute the 2 and the 5 across the parentheses: 2w - 2 - 80 = 5w + 5Isolate Variable: Combine like terms on the left side of the equation: 2w - 82 = 5w + 5Subtract Constant: Now, we want to get all the w terms on one side and the constant terms on the other side. Subtract 2w from both sides: 2w - 2w - 82 = 5w - 2w + 5Solve for Variable: Simplify the equation: -82 = 3w + 5Subtract 5 from both sides to isolate the term with w: -82 - 5 = 3w + 5 - 5Combine like terms: -87 = 3wDivide both sides by 3 to solve for w: -87 / 3 = 3w / 3Simplify the division: -29 = w

Solve the equation for the given variable. If your answer is a fraction, write it in reduced, fractional form. Do NOT convert the answer to a decimal. $\newline$ $\frac{w-1}{5}-8=\frac{w+1}{2}$

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Solve the equation for the given variable. If your answer is a fraction, write it in reduced, fractional form. Do NOT convert the answer to a decimal.\newlinew−15−8=w+12\frac{w-1}{5}-8=\frac{w+1}{2}5w−1​−8=2w+1​

Solve the equation for the given variable. If your answer is a fraction, write it in reduced, fractional form. Do NOT convert the answer to a decimal. $\newline$ $\frac{w-1}{5}-8=\frac{w+1}{2}$