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Simplifying 170 = 2((2w + -5) + w) Reorder the terms: 170 = 2((-5 + 2w) + w) Remove parenthesis around (-5 + 2w) 170 = 2(-5 + 2w + w) Combine like terms: 2w + w = 3w 170 = 2(-5 + 3w) 170 = (-5 * 2 + 3w * 2) 170 = (-10 + 6w) Solving 170 = -10 + 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. 170 + -6w = -10 + 6w + -6w Combine like terms: 6w + -6w = 0 170 + -6w = -10 + 0 170 + -6w = -10 Add '-170' to each side of the equation. 170 + -170 + -6w = -10 + -170 Combine like terms: 170 + -170 = 0 0 + -6w = -10 + -170 -6w = -10 + -170 Combine like terms: -10 + -170 = -180 -6w = -180 Divide each side by '-6'. w = 30 Simplifying w = 30
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