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Simplifying 175 = 65 + (10 + 7) * w Combine like terms: 10 + 7 = 17 175 = 65 + (17) * w Solving 175 = 65 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. 175 + -17w = 65 + 17w + -17w Combine like terms: 17w + -17w = 0 175 + -17w = 65 + 0 175 + -17w = 65 Add '-175' to each side of the equation. 175 + -175 + -17w = 65 + -175 Combine like terms: 175 + -175 = 0 0 + -17w = 65 + -175 -17w = 65 + -175 Combine like terms: 65 + -175 = -110 -17w = -110 Divide each side by '-17'. w = 6.470588235 Simplifying w = 6.470588235
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