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Simplifying 6(3w + 5) = 2(10w + 10) Reorder the terms: 6(5 + 3w) = 2(10w + 10) (5 * 6 + 3w * 6) = 2(10w + 10) (30 + 18w) = 2(10w + 10) Reorder the terms: 30 + 18w = 2(10 + 10w) 30 + 18w = (10 * 2 + 10w * 2) 30 + 18w = (20 + 20w) Solving 30 + 18w = 20 + 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. 30 + 18w + -20w = 20 + 20w + -20w Combine like terms: 18w + -20w = -2w 30 + -2w = 20 + 20w + -20w Combine like terms: 20w + -20w = 0 30 + -2w = 20 + 0 30 + -2w = 20 Add '-30' to each side of the equation. 30 + -30 + -2w = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -2w = 20 + -30 -2w = 20 + -30 Combine like terms: 20 + -30 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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