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Simplifying 590 = 2(2w + -5) + 2w Reorder the terms: 590 = 2(-5 + 2w) + 2w 590 = (-5 * 2 + 2w * 2) + 2w 590 = (-10 + 4w) + 2w Combine like terms: 4w + 2w = 6w 590 = -10 + 6w Solving 590 = -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. 590 + -6w = -10 + 6w + -6w Combine like terms: 6w + -6w = 0 590 + -6w = -10 + 0 590 + -6w = -10 Add '-590' to each side of the equation. 590 + -590 + -6w = -10 + -590 Combine like terms: 590 + -590 = 0 0 + -6w = -10 + -590 -6w = -10 + -590 Combine like terms: -10 + -590 = -600 -6w = -600 Divide each side by '-6'. w = 100 Simplifying w = 100
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