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Simplifying -2(9w + -2) + 8w = -4(w + 3) Reorder the terms: -2(-2 + 9w) + 8w = -4(w + 3) (-2 * -2 + 9w * -2) + 8w = -4(w + 3) (4 + -18w) + 8w = -4(w + 3) Combine like terms: -18w + 8w = -10w 4 + -10w = -4(w + 3) Reorder the terms: 4 + -10w = -4(3 + w) 4 + -10w = (3 * -4 + w * -4) 4 + -10w = (-12 + -4w) Solving 4 + -10w = -12 + -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. 4 + -10w + 4w = -12 + -4w + 4w Combine like terms: -10w + 4w = -6w 4 + -6w = -12 + -4w + 4w Combine like terms: -4w + 4w = 0 4 + -6w = -12 + 0 4 + -6w = -12 Add '-4' to each side of the equation. 4 + -4 + -6w = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -6w = -12 + -4 -6w = -12 + -4 Combine like terms: -12 + -4 = -16 -6w = -16 Divide each side by '-6'. w = 2.666666667 Simplifying w = 2.666666667
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