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Simplifying 8 + -4w = 0.333(6w + -12) Reorder the terms: 8 + -4w = 0.333(-12 + 6w) 8 + -4w = (-12 * 0.333 + 6w * 0.333) 8 + -4w = (-3.996 + 1.998w) Solving 8 + -4w = -3.996 + 1.998w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.998w' to each side of the equation. 8 + -4w + -1.998w = -3.996 + 1.998w + -1.998w Combine like terms: -4w + -1.998w = -5.998w 8 + -5.998w = -3.996 + 1.998w + -1.998w Combine like terms: 1.998w + -1.998w = 0.000 8 + -5.998w = -3.996 + 0.000 8 + -5.998w = -3.996 Add '-8' to each side of the equation. 8 + -8 + -5.998w = -3.996 + -8 Combine like terms: 8 + -8 = 0 0 + -5.998w = -3.996 + -8 -5.998w = -3.996 + -8 Combine like terms: -3.996 + -8 = -11.996 -5.998w = -11.996 Divide each side by '-5.998'. w = 2 Simplifying w = 2
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