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Simplifying 2(w + 4) = -2(8w + -9) + 4w Reorder the terms: 2(4 + w) = -2(8w + -9) + 4w (4 * 2 + w * 2) = -2(8w + -9) + 4w (8 + 2w) = -2(8w + -9) + 4w Reorder the terms: 8 + 2w = -2(-9 + 8w) + 4w 8 + 2w = (-9 * -2 + 8w * -2) + 4w 8 + 2w = (18 + -16w) + 4w Combine like terms: -16w + 4w = -12w 8 + 2w = 18 + -12w Solving 8 + 2w = 18 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 8 + 2w + 12w = 18 + -12w + 12w Combine like terms: 2w + 12w = 14w 8 + 14w = 18 + -12w + 12w Combine like terms: -12w + 12w = 0 8 + 14w = 18 + 0 8 + 14w = 18 Add '-8' to each side of the equation. 8 + -8 + 14w = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 14w = 18 + -8 14w = 18 + -8 Combine like terms: 18 + -8 = 10 14w = 10 Divide each side by '14'. w = 0.7142857143 Simplifying w = 0.7142857143
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