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Simplifying 4w + -8 + 2(6w + 2) = -2(w + 1) Reorder the terms: 4w + -8 + 2(2 + 6w) = -2(w + 1) 4w + -8 + (2 * 2 + 6w * 2) = -2(w + 1) 4w + -8 + (4 + 12w) = -2(w + 1) Reorder the terms: -8 + 4 + 4w + 12w = -2(w + 1) Combine like terms: -8 + 4 = -4 -4 + 4w + 12w = -2(w + 1) Combine like terms: 4w + 12w = 16w -4 + 16w = -2(w + 1) Reorder the terms: -4 + 16w = -2(1 + w) -4 + 16w = (1 * -2 + w * -2) -4 + 16w = (-2 + -2w) Solving -4 + 16w = -2 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -4 + 16w + 2w = -2 + -2w + 2w Combine like terms: 16w + 2w = 18w -4 + 18w = -2 + -2w + 2w Combine like terms: -2w + 2w = 0 -4 + 18w = -2 + 0 -4 + 18w = -2 Add '4' to each side of the equation. -4 + 4 + 18w = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 18w = -2 + 4 18w = -2 + 4 Combine like terms: -2 + 4 = 2 18w = 2 Divide each side by '18'. w = 0.1111111111 Simplifying w = 0.1111111111
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