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Simplifying 4w + -8 + 12w + 2 = -2w + -10 Reorder the terms: -8 + 2 + 4w + 12w = -2w + -10 Combine like terms: -8 + 2 = -6 -6 + 4w + 12w = -2w + -10 Combine like terms: 4w + 12w = 16w -6 + 16w = -2w + -10 Reorder the terms: -6 + 16w = -10 + -2w Solving -6 + 16w = -10 + -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. -6 + 16w + 2w = -10 + -2w + 2w Combine like terms: 16w + 2w = 18w -6 + 18w = -10 + -2w + 2w Combine like terms: -2w + 2w = 0 -6 + 18w = -10 + 0 -6 + 18w = -10 Add '6' to each side of the equation. -6 + 6 + 18w = -10 + 6 Combine like terms: -6 + 6 = 0 0 + 18w = -10 + 6 18w = -10 + 6 Combine like terms: -10 + 6 = -4 18w = -4 Divide each side by '18'. w = -0.2222222222 Simplifying w = -0.2222222222
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