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Simplifying -5(-4w + 3) + -6w = 4(w + -6) + -9 Reorder the terms: -5(3 + -4w) + -6w = 4(w + -6) + -9 (3 * -5 + -4w * -5) + -6w = 4(w + -6) + -9 (-15 + 20w) + -6w = 4(w + -6) + -9 Combine like terms: 20w + -6w = 14w -15 + 14w = 4(w + -6) + -9 Reorder the terms: -15 + 14w = 4(-6 + w) + -9 -15 + 14w = (-6 * 4 + w * 4) + -9 -15 + 14w = (-24 + 4w) + -9 Reorder the terms: -15 + 14w = -24 + -9 + 4w Combine like terms: -24 + -9 = -33 -15 + 14w = -33 + 4w Solving -15 + 14w = -33 + 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 + 14w + -4w = -33 + 4w + -4w Combine like terms: 14w + -4w = 10w -15 + 10w = -33 + 4w + -4w Combine like terms: 4w + -4w = 0 -15 + 10w = -33 + 0 -15 + 10w = -33 Add '15' to each side of the equation. -15 + 15 + 10w = -33 + 15 Combine like terms: -15 + 15 = 0 0 + 10w = -33 + 15 10w = -33 + 15 Combine like terms: -33 + 15 = -18 10w = -18 Divide each side by '10'. w = -1.8 Simplifying w = -1.8
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