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Simplifying 56 = 4(2w + 6) + 2(3w + 1) Reorder the terms: 56 = 4(6 + 2w) + 2(3w + 1) 56 = (6 * 4 + 2w * 4) + 2(3w + 1) 56 = (24 + 8w) + 2(3w + 1) Reorder the terms: 56 = 24 + 8w + 2(1 + 3w) 56 = 24 + 8w + (1 * 2 + 3w * 2) 56 = 24 + 8w + (2 + 6w) Reorder the terms: 56 = 24 + 2 + 8w + 6w Combine like terms: 24 + 2 = 26 56 = 26 + 8w + 6w Combine like terms: 8w + 6w = 14w 56 = 26 + 14w Solving 56 = 26 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 56 + -14w = 26 + 14w + -14w Combine like terms: 14w + -14w = 0 56 + -14w = 26 + 0 56 + -14w = 26 Add '-56' to each side of the equation. 56 + -56 + -14w = 26 + -56 Combine like terms: 56 + -56 = 0 0 + -14w = 26 + -56 -14w = 26 + -56 Combine like terms: 26 + -56 = -30 -14w = -30 Divide each side by '-14'. w = 2.142857143 Simplifying w = 2.142857143
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