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Simplifying 8 + -4w = 0.33(6w + -12) Reorder the terms: 8 + -4w = 0.33(-12 + 6w) 8 + -4w = (-12 * 0.33 + 6w * 0.33) 8 + -4w = (-3.96 + 1.98w) Solving 8 + -4w = -3.96 + 1.98w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.98w' to each side of the equation. 8 + -4w + -1.98w = -3.96 + 1.98w + -1.98w Combine like terms: -4w + -1.98w = -5.98w 8 + -5.98w = -3.96 + 1.98w + -1.98w Combine like terms: 1.98w + -1.98w = 0.00 8 + -5.98w = -3.96 + 0.00 8 + -5.98w = -3.96 Add '-8' to each side of the equation. 8 + -8 + -5.98w = -3.96 + -8 Combine like terms: 8 + -8 = 0 0 + -5.98w = -3.96 + -8 -5.98w = -3.96 + -8 Combine like terms: -3.96 + -8 = -11.96 -5.98w = -11.96 Divide each side by '-5.98'. w = 2 Simplifying w = 2
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