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Simplifying -4(4w + -9) + 6w = 5(w + 6) Reorder the terms: -4(-9 + 4w) + 6w = 5(w + 6) (-9 * -4 + 4w * -4) + 6w = 5(w + 6) (36 + -16w) + 6w = 5(w + 6) Combine like terms: -16w + 6w = -10w 36 + -10w = 5(w + 6) Reorder the terms: 36 + -10w = 5(6 + w) 36 + -10w = (6 * 5 + w * 5) 36 + -10w = (30 + 5w) Solving 36 + -10w = 30 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 36 + -10w + -5w = 30 + 5w + -5w Combine like terms: -10w + -5w = -15w 36 + -15w = 30 + 5w + -5w Combine like terms: 5w + -5w = 0 36 + -15w = 30 + 0 36 + -15w = 30 Add '-36' to each side of the equation. 36 + -36 + -15w = 30 + -36 Combine like terms: 36 + -36 = 0 0 + -15w = 30 + -36 -15w = 30 + -36 Combine like terms: 30 + -36 = -6 -15w = -6 Divide each side by '-15'. w = 0.4 Simplifying w = 0.4
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