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Simplifying 84 = 2(2w + 3) + 2w Reorder the terms: 84 = 2(3 + 2w) + 2w 84 = (3 * 2 + 2w * 2) + 2w 84 = (6 + 4w) + 2w Combine like terms: 4w + 2w = 6w 84 = 6 + 6w Solving 84 = 6 + 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. 84 + -6w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 84 + -6w = 6 + 0 84 + -6w = 6 Add '-84' to each side of the equation. 84 + -84 + -6w = 6 + -84 Combine like terms: 84 + -84 = 0 0 + -6w = 6 + -84 -6w = 6 + -84 Combine like terms: 6 + -84 = -78 -6w = -78 Divide each side by '-6'. w = 13 Simplifying w = 13
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