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Simplifying 36 = 2(3w + 10) + 2w Reorder the terms: 36 = 2(10 + 3w) + 2w 36 = (10 * 2 + 3w * 2) + 2w 36 = (20 + 6w) + 2w Combine like terms: 6w + 2w = 8w 36 = 20 + 8w Solving 36 = 20 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 36 + -8w = 20 + 8w + -8w Combine like terms: 8w + -8w = 0 36 + -8w = 20 + 0 36 + -8w = 20 Add '-36' to each side of the equation. 36 + -36 + -8w = 20 + -36 Combine like terms: 36 + -36 = 0 0 + -8w = 20 + -36 -8w = 20 + -36 Combine like terms: 20 + -36 = -16 -8w = -16 Divide each side by '-8'. w = 2 Simplifying w = 2
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