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Simplifying -4(3w + -5) + 8w = 6(w + 3) Reorder the terms: -4(-5 + 3w) + 8w = 6(w + 3) (-5 * -4 + 3w * -4) + 8w = 6(w + 3) (20 + -12w) + 8w = 6(w + 3) Combine like terms: -12w + 8w = -4w 20 + -4w = 6(w + 3) Reorder the terms: 20 + -4w = 6(3 + w) 20 + -4w = (3 * 6 + w * 6) 20 + -4w = (18 + 6w) Solving 20 + -4w = 18 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 20 + -4w + -6w = 18 + 6w + -6w Combine like terms: -4w + -6w = -10w 20 + -10w = 18 + 6w + -6w Combine like terms: 6w + -6w = 0 20 + -10w = 18 + 0 20 + -10w = 18 Add '-20' to each side of the equation. 20 + -20 + -10w = 18 + -20 Combine like terms: 20 + -20 = 0 0 + -10w = 18 + -20 -10w = 18 + -20 Combine like terms: 18 + -20 = -2 -10w = -2 Divide each side by '-10'. w = 0.2 Simplifying w = 0.2
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