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Simplifying 296 = 2w + 2(2w + -2) Reorder the terms: 296 = 2w + 2(-2 + 2w) 296 = 2w + (-2 * 2 + 2w * 2) 296 = 2w + (-4 + 4w) Reorder the terms: 296 = -4 + 2w + 4w Combine like terms: 2w + 4w = 6w 296 = -4 + 6w Solving 296 = -4 + 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. 296 + -6w = -4 + 6w + -6w Combine like terms: 6w + -6w = 0 296 + -6w = -4 + 0 296 + -6w = -4 Add '-296' to each side of the equation. 296 + -296 + -6w = -4 + -296 Combine like terms: 296 + -296 = 0 0 + -6w = -4 + -296 -6w = -4 + -296 Combine like terms: -4 + -296 = -300 -6w = -300 Divide each side by '-6'. w = 50 Simplifying w = 50
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