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Simplifying -2(8w + -1) + 4w = 6(w + 2) Reorder the terms: -2(-1 + 8w) + 4w = 6(w + 2) (-1 * -2 + 8w * -2) + 4w = 6(w + 2) (2 + -16w) + 4w = 6(w + 2) Combine like terms: -16w + 4w = -12w 2 + -12w = 6(w + 2) Reorder the terms: 2 + -12w = 6(2 + w) 2 + -12w = (2 * 6 + w * 6) 2 + -12w = (12 + 6w) Solving 2 + -12w = 12 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 2 + -12w + -6w = 12 + 6w + -6w Combine like terms: -12w + -6w = -18w 2 + -18w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 2 + -18w = 12 + 0 2 + -18w = 12 Add '-2' to each side of the equation. 2 + -2 + -18w = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -18w = 12 + -2 -18w = 12 + -2 Combine like terms: 12 + -2 = 10 -18w = 10 Divide each side by '-18'. w = -0.5555555556 Simplifying w = -0.5555555556
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