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Simplifying -4(4w + -7) + 6w = 4(w + 6) Reorder the terms: -4(-7 + 4w) + 6w = 4(w + 6) (-7 * -4 + 4w * -4) + 6w = 4(w + 6) (28 + -16w) + 6w = 4(w + 6) Combine like terms: -16w + 6w = -10w 28 + -10w = 4(w + 6) Reorder the terms: 28 + -10w = 4(6 + w) 28 + -10w = (6 * 4 + w * 4) 28 + -10w = (24 + 4w) Solving 28 + -10w = 24 + 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 + -10w + -4w = 24 + 4w + -4w Combine like terms: -10w + -4w = -14w 28 + -14w = 24 + 4w + -4w Combine like terms: 4w + -4w = 0 28 + -14w = 24 + 0 28 + -14w = 24 Add '-28' to each side of the equation. 28 + -28 + -14w = 24 + -28 Combine like terms: 28 + -28 = 0 0 + -14w = 24 + -28 -14w = 24 + -28 Combine like terms: 24 + -28 = -4 -14w = -4 Divide each side by '-14'. w = 0.2857142857 Simplifying w = 0.2857142857
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