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Simplifying 0.66666667(w + 12) = 3w + -6 Reorder the terms: 0.66666667(12 + w) = 3w + -6 (12 * 0.66666667 + w * 0.66666667) = 3w + -6 (8.00000004 + 0.66666667w) = 3w + -6 Reorder the terms: 8.00000004 + 0.66666667w = -6 + 3w Solving 8.00000004 + 0.66666667w = -6 + 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. 8.00000004 + 0.66666667w + -3w = -6 + 3w + -3w Combine like terms: 0.66666667w + -3w = -2.33333333w 8.00000004 + -2.33333333w = -6 + 3w + -3w Combine like terms: 3w + -3w = 0 8.00000004 + -2.33333333w = -6 + 0 8.00000004 + -2.33333333w = -6 Add '-8.00000004' to each side of the equation. 8.00000004 + -8.00000004 + -2.33333333w = -6 + -8.00000004 Combine like terms: 8.00000004 + -8.00000004 = 0.00000000 0.00000000 + -2.33333333w = -6 + -8.00000004 -2.33333333w = -6 + -8.00000004 Combine like terms: -6 + -8.00000004 = -14.00000004 -2.33333333w = -14.00000004 Divide each side by '-2.33333333'. w = 6.000000026 Simplifying w = 6.000000026
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