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Simplifying -5(-5w + 3) + -7w = 4(w + -6) + -3 Reorder the terms: -5(3 + -5w) + -7w = 4(w + -6) + -3 (3 * -5 + -5w * -5) + -7w = 4(w + -6) + -3 (-15 + 25w) + -7w = 4(w + -6) + -3 Combine like terms: 25w + -7w = 18w -15 + 18w = 4(w + -6) + -3 Reorder the terms: -15 + 18w = 4(-6 + w) + -3 -15 + 18w = (-6 * 4 + w * 4) + -3 -15 + 18w = (-24 + 4w) + -3 Reorder the terms: -15 + 18w = -24 + -3 + 4w Combine like terms: -24 + -3 = -27 -15 + 18w = -27 + 4w Solving -15 + 18w = -27 + 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. -15 + 18w + -4w = -27 + 4w + -4w Combine like terms: 18w + -4w = 14w -15 + 14w = -27 + 4w + -4w Combine like terms: 4w + -4w = 0 -15 + 14w = -27 + 0 -15 + 14w = -27 Add '15' to each side of the equation. -15 + 15 + 14w = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 14w = -27 + 15 14w = -27 + 15 Combine like terms: -27 + 15 = -12 14w = -12 Divide each side by '14'. w = -0.8571428571 Simplifying w = -0.8571428571
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