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Simplifying -5(4w + -2) + 8w = 6(w + 3) Reorder the terms: -5(-2 + 4w) + 8w = 6(w + 3) (-2 * -5 + 4w * -5) + 8w = 6(w + 3) (10 + -20w) + 8w = 6(w + 3) Combine like terms: -20w + 8w = -12w 10 + -12w = 6(w + 3) Reorder the terms: 10 + -12w = 6(3 + w) 10 + -12w = (3 * 6 + w * 6) 10 + -12w = (18 + 6w) Solving 10 + -12w = 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. 10 + -12w + -6w = 18 + 6w + -6w Combine like terms: -12w + -6w = -18w 10 + -18w = 18 + 6w + -6w Combine like terms: 6w + -6w = 0 10 + -18w = 18 + 0 10 + -18w = 18 Add '-10' to each side of the equation. 10 + -10 + -18w = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -18w = 18 + -10 -18w = 18 + -10 Combine like terms: 18 + -10 = 8 -18w = 8 Divide each side by '-18'. w = -0.4444444444 Simplifying w = -0.4444444444
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