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Simplifying 4(0.5 + -1w) = -18 (0.5 * 4 + -1w * 4) = -18 (2 + -4w) = -18 Solving 2 + -4w = -18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -4w = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -4w = -18 + -2 -4w = -18 + -2 Combine like terms: -18 + -2 = -20 -4w = -20 Divide each side by '-4'. w = 5 Simplifying w = 5
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