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Simplifying 33.3(6w + -3) = 3w + 12 Reorder the terms: 33.3(-3 + 6w) = 3w + 12 (-3 * 33.3 + 6w * 33.3) = 3w + 12 (-99.9 + 199.8w) = 3w + 12 Reorder the terms: -99.9 + 199.8w = 12 + 3w Solving -99.9 + 199.8w = 12 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -99.9 + 199.8w + -3w = 12 + 3w + -3w Combine like terms: 199.8w + -3w = 196.8w -99.9 + 196.8w = 12 + 3w + -3w Combine like terms: 3w + -3w = 0 -99.9 + 196.8w = 12 + 0 -99.9 + 196.8w = 12 Add '99.9' to each side of the equation. -99.9 + 99.9 + 196.8w = 12 + 99.9 Combine like terms: -99.9 + 99.9 = 0.0 0.0 + 196.8w = 12 + 99.9 196.8w = 12 + 99.9 Combine like terms: 12 + 99.9 = 111.9 196.8w = 111.9 Divide each side by '196.8'. w = 0.568597561 Simplifying w = 0.568597561
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