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Simplifying 270 = 2(82) + 2w Multiply 2 * 82 270 = 164 + 2w Solving 270 = 164 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 270 + -2w = 164 + 2w + -2w Combine like terms: 2w + -2w = 0 270 + -2w = 164 + 0 270 + -2w = 164 Add '-270' to each side of the equation. 270 + -270 + -2w = 164 + -270 Combine like terms: 270 + -270 = 0 0 + -2w = 164 + -270 -2w = 164 + -270 Combine like terms: 164 + -270 = -106 -2w = -106 Divide each side by '-2'. w = 53 Simplifying w = 53
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