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Simplifying -4(5w + -7) + 6w = 4(w + 5) Reorder the terms: -4(-7 + 5w) + 6w = 4(w + 5) (-7 * -4 + 5w * -4) + 6w = 4(w + 5) (28 + -20w) + 6w = 4(w + 5) Combine like terms: -20w + 6w = -14w 28 + -14w = 4(w + 5) Reorder the terms: 28 + -14w = 4(5 + w) 28 + -14w = (5 * 4 + w * 4) 28 + -14w = (20 + 4w) Solving 28 + -14w = 20 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 28 + -14w + -4w = 20 + 4w + -4w Combine like terms: -14w + -4w = -18w 28 + -18w = 20 + 4w + -4w Combine like terms: 4w + -4w = 0 28 + -18w = 20 + 0 28 + -18w = 20 Add '-28' to each side of the equation. 28 + -28 + -18w = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -18w = 20 + -28 -18w = 20 + -28 Combine like terms: 20 + -28 = -8 -18w = -8 Divide each side by '-18'. w = 0.4444444444 Simplifying w = 0.4444444444
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