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Simplifying 9 + 0.5(2w + -4) = 19 Reorder the terms: 9 + 0.5(-4 + 2w) = 19 9 + (-4 * 0.5 + 2w * 0.5) = 19 9 + (-2 + 1w) = 19 Combine like terms: 9 + -2 = 7 7 + 1w = 19 Solving 7 + 1w = 19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1w = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 1w = 19 + -7 1w = 19 + -7 Combine like terms: 19 + -7 = 12 1w = 12 Divide each side by '1'. w = 12 Simplifying w = 12
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