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Simplifying 17 = 6 + -3(5 + -2w) 17 = 6 + (5 * -3 + -2w * -3) 17 = 6 + (-15 + 6w) Combine like terms: 6 + -15 = -9 17 = -9 + 6w Solving 17 = -9 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 17 + -6w = -9 + 6w + -6w Combine like terms: 6w + -6w = 0 17 + -6w = -9 + 0 17 + -6w = -9 Add '-17' to each side of the equation. 17 + -17 + -6w = -9 + -17 Combine like terms: 17 + -17 = 0 0 + -6w = -9 + -17 -6w = -9 + -17 Combine like terms: -9 + -17 = -26 -6w = -26 Divide each side by '-6'. w = 4.333333333 Simplifying w = 4.333333333
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