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Simplifying 90 = 2w + 2(2w + 6) Reorder the terms: 90 = 2w + 2(6 + 2w) 90 = 2w + (6 * 2 + 2w * 2) 90 = 2w + (12 + 4w) Reorder the terms: 90 = 12 + 2w + 4w Combine like terms: 2w + 4w = 6w 90 = 12 + 6w Solving 90 = 12 + 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. 90 + -6w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 90 + -6w = 12 + 0 90 + -6w = 12 Add '-90' to each side of the equation. 90 + -90 + -6w = 12 + -90 Combine like terms: 90 + -90 = 0 0 + -6w = 12 + -90 -6w = 12 + -90 Combine like terms: 12 + -90 = -78 -6w = -78 Divide each side by '-6'. w = 13 Simplifying w = 13
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