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Simplifying 0.5(4 + -6w) + -1w = 14 (4 * 0.5 + -6w * 0.5) + -1w = 14 (2 + -3w) + -1w = 14 Combine like terms: -3w + -1w = -4w 2 + -4w = 14 Solving 2 + -4w = 14 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 = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -4w = 14 + -2 -4w = 14 + -2 Combine like terms: 14 + -2 = 12 -4w = 12 Divide each side by '-4'. w = -3 Simplifying w = -3
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