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Simplifying 175 = 65 + (15 + 8) * w Combine like terms: 15 + 8 = 23 175 = 65 + (23) * w Solving 175 = 65 + 23w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23w' to each side of the equation. 175 + -23w = 65 + 23w + -23w Combine like terms: 23w + -23w = 0 175 + -23w = 65 + 0 175 + -23w = 65 Add '-175' to each side of the equation. 175 + -175 + -23w = 65 + -175 Combine like terms: 175 + -175 = 0 0 + -23w = 65 + -175 -23w = 65 + -175 Combine like terms: 65 + -175 = -110 -23w = -110 Divide each side by '-23'. w = 4.782608696 Simplifying w = 4.782608696
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