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Simplifying -2(8w + -9) + 6w = 4(w + 3) Reorder the terms: -2(-9 + 8w) + 6w = 4(w + 3) (-9 * -2 + 8w * -2) + 6w = 4(w + 3) (18 + -16w) + 6w = 4(w + 3) Combine like terms: -16w + 6w = -10w 18 + -10w = 4(w + 3) Reorder the terms: 18 + -10w = 4(3 + w) 18 + -10w = (3 * 4 + w * 4) 18 + -10w = (12 + 4w) Solving 18 + -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. 18 + -10w + -4w = 12 + 4w + -4w Combine like terms: -10w + -4w = -14w 18 + -14w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 18 + -14w = 12 + 0 18 + -14w = 12 Add '-18' to each side of the equation. 18 + -18 + -14w = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -14w = 12 + -18 -14w = 12 + -18 Combine like terms: 12 + -18 = -6 -14w = -6 Divide each side by '-14'. w = 0.4285714286 Simplifying w = 0.4285714286
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