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Simplifying 0.33333333(6w + -3) = 3w + 12 Reorder the terms: 0.33333333(-3 + 6w) = 3w + 12 (-3 * 0.33333333 + 6w * 0.33333333) = 3w + 12 (-0.99999999 + 1.99999998w) = 3w + 12 Reorder the terms: -0.99999999 + 1.99999998w = 12 + 3w Solving -0.99999999 + 1.99999998w = 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. -0.99999999 + 1.99999998w + -3w = 12 + 3w + -3w Combine like terms: 1.99999998w + -3w = -1.00000002w -0.99999999 + -1.00000002w = 12 + 3w + -3w Combine like terms: 3w + -3w = 0 -0.99999999 + -1.00000002w = 12 + 0 -0.99999999 + -1.00000002w = 12 Add '0.99999999' to each side of the equation. -0.99999999 + 0.99999999 + -1.00000002w = 12 + 0.99999999 Combine like terms: -0.99999999 + 0.99999999 = 0.00000000 0.00000000 + -1.00000002w = 12 + 0.99999999 -1.00000002w = 12 + 0.99999999 Combine like terms: 12 + 0.99999999 = 12.99999999 -1.00000002w = 12.99999999 Divide each side by '-1.00000002'. w = -12.99999973 Simplifying w = -12.99999973
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