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Simplifying 270 = 2(2w + w) + 2w Combine like terms: 2w + w = 3w 270 = 2(3w) + 2w Remove parenthesis around (3w) 270 = 2 * 3w + 2w Multiply 2 * 3 270 = 6w + 2w Combine like terms: 6w + 2w = 8w 270 = 8w Solving 270 = 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. 270 + -8w = 8w + -8w Combine like terms: 8w + -8w = 0 270 + -8w = 0 Add '-270' to each side of the equation. 270 + -270 + -8w = 0 + -270 Combine like terms: 270 + -270 = 0 0 + -8w = 0 + -270 -8w = 0 + -270 Combine like terms: 0 + -270 = -270 -8w = -270 Divide each side by '-8'. w = 33.75 Simplifying w = 33.75
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