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Simplifying 2w + 4(7 + 3w) = -18 2w + (7 * 4 + 3w * 4) = -18 2w + (28 + 12w) = -18 Reorder the terms: 28 + 2w + 12w = -18 Combine like terms: 2w + 12w = 14w 28 + 14w = -18 Solving 28 + 14w = -18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 14w = -18 + -28 Combine like terms: 28 + -28 = 0 0 + 14w = -18 + -28 14w = -18 + -28 Combine like terms: -18 + -28 = -46 14w = -46 Divide each side by '14'. w = -3.285714286 Simplifying w = -3.285714286
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