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Simplifying 6(10 + -3w) = 5(4w + 11) (10 * 6 + -3w * 6) = 5(4w + 11) (60 + -18w) = 5(4w + 11) Reorder the terms: 60 + -18w = 5(11 + 4w) 60 + -18w = (11 * 5 + 4w * 5) 60 + -18w = (55 + 20w) Solving 60 + -18w = 55 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. 60 + -18w + -20w = 55 + 20w + -20w Combine like terms: -18w + -20w = -38w 60 + -38w = 55 + 20w + -20w Combine like terms: 20w + -20w = 0 60 + -38w = 55 + 0 60 + -38w = 55 Add '-60' to each side of the equation. 60 + -60 + -38w = 55 + -60 Combine like terms: 60 + -60 = 0 0 + -38w = 55 + -60 -38w = 55 + -60 Combine like terms: 55 + -60 = -5 -38w = -5 Divide each side by '-38'. w = 0.1315789474 Simplifying w = 0.1315789474
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