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Simplifying 98 = 2(2w + 4) + 2w Reorder the terms: 98 = 2(4 + 2w) + 2w 98 = (4 * 2 + 2w * 2) + 2w 98 = (8 + 4w) + 2w Combine like terms: 4w + 2w = 6w 98 = 8 + 6w Solving 98 = 8 + 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. 98 + -6w = 8 + 6w + -6w Combine like terms: 6w + -6w = 0 98 + -6w = 8 + 0 98 + -6w = 8 Add '-98' to each side of the equation. 98 + -98 + -6w = 8 + -98 Combine like terms: 98 + -98 = 0 0 + -6w = 8 + -98 -6w = 8 + -98 Combine like terms: 8 + -98 = -90 -6w = -90 Divide each side by '-6'. w = 15 Simplifying w = 15
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