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Simplifying 2w + 0.66666667(6w + -12) = 4w Reorder the terms: 2w + 0.66666667(-12 + 6w) = 4w 2w + (-12 * 0.66666667 + 6w * 0.66666667) = 4w 2w + (-8.00000004 + 4.00000002w) = 4w Reorder the terms: -8.00000004 + 2w + 4.00000002w = 4w Combine like terms: 2w + 4.00000002w = 6.00000002w -8.00000004 + 6.00000002w = 4w Solving -8.00000004 + 6.00000002w = 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -8.00000004 + 6.00000002w + -4w = 4w + -4w Combine like terms: 6.00000002w + -4w = 2.00000002w -8.00000004 + 2.00000002w = 4w + -4w Combine like terms: 4w + -4w = 0 -8.00000004 + 2.00000002w = 0 Add '8.00000004' to each side of the equation. -8.00000004 + 8.00000004 + 2.00000002w = 0 + 8.00000004 Combine like terms: -8.00000004 + 8.00000004 = 0.00000000 0.00000000 + 2.00000002w = 0 + 8.00000004 2.00000002w = 0 + 8.00000004 Combine like terms: 0 + 8.00000004 = 8.00000004 2.00000002w = 8.00000004 Divide each side by '2.00000002'. w = 3.99999998 Simplifying w = 3.99999998
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