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Simplifying 78 = 2(2w + 12) + 2w Reorder the terms: 78 = 2(12 + 2w) + 2w 78 = (12 * 2 + 2w * 2) + 2w 78 = (24 + 4w) + 2w Combine like terms: 4w + 2w = 6w 78 = 24 + 6w Solving 78 = 24 + 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. 78 + -6w = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 78 + -6w = 24 + 0 78 + -6w = 24 Add '-78' to each side of the equation. 78 + -78 + -6w = 24 + -78 Combine like terms: 78 + -78 = 0 0 + -6w = 24 + -78 -6w = 24 + -78 Combine like terms: 24 + -78 = -54 -6w = -54 Divide each side by '-6'. w = 9 Simplifying w = 9
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