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Simplifying 32 = 2(2w + 2) + 2w Reorder the terms: 32 = 2(2 + 2w) + 2w 32 = (2 * 2 + 2w * 2) + 2w 32 = (4 + 4w) + 2w Combine like terms: 4w + 2w = 6w 32 = 4 + 6w Solving 32 = 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. 32 + -6w = 4 + 6w + -6w Combine like terms: 6w + -6w = 0 32 + -6w = 4 + 0 32 + -6w = 4 Add '-32' to each side of the equation. 32 + -32 + -6w = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -6w = 4 + -32 -6w = 4 + -32 Combine like terms: 4 + -32 = -28 -6w = -28 Divide each side by '-6'. w = 4.666666667 Simplifying w = 4.666666667
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