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Simplifying 36 = 2(2w + 3) + 2w Reorder the terms: 36 = 2(3 + 2w) + 2w 36 = (3 * 2 + 2w * 2) + 2w 36 = (6 + 4w) + 2w Combine like terms: 4w + 2w = 6w 36 = 6 + 6w Solving 36 = 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. 36 + -6w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 36 + -6w = 6 + 0 36 + -6w = 6 Add '-36' to each side of the equation. 36 + -36 + -6w = 6 + -36 Combine like terms: 36 + -36 = 0 0 + -6w = 6 + -36 -6w = 6 + -36 Combine like terms: 6 + -36 = -30 -6w = -30 Divide each side by '-6'. w = 5 Simplifying w = 5
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