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Simplifying -5(2w + -8) + 3w = 7(w + 4) Reorder the terms: -5(-8 + 2w) + 3w = 7(w + 4) (-8 * -5 + 2w * -5) + 3w = 7(w + 4) (40 + -10w) + 3w = 7(w + 4) Combine like terms: -10w + 3w = -7w 40 + -7w = 7(w + 4) Reorder the terms: 40 + -7w = 7(4 + w) 40 + -7w = (4 * 7 + w * 7) 40 + -7w = (28 + 7w) Solving 40 + -7w = 28 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 40 + -7w + -7w = 28 + 7w + -7w Combine like terms: -7w + -7w = -14w 40 + -14w = 28 + 7w + -7w Combine like terms: 7w + -7w = 0 40 + -14w = 28 + 0 40 + -14w = 28 Add '-40' to each side of the equation. 40 + -40 + -14w = 28 + -40 Combine like terms: 40 + -40 = 0 0 + -14w = 28 + -40 -14w = 28 + -40 Combine like terms: 28 + -40 = -12 -14w = -12 Divide each side by '-14'. w = 0.8571428571 Simplifying w = 0.8571428571
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