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Simplifying 8 + -1(w + 7) = 0.5 Reorder the terms: 8 + -1(7 + w) = 0.5 8 + (7 * -1 + w * -1) = 0.5 8 + (-7 + -1w) = 0.5 Combine like terms: 8 + -7 = 1 1 + -1w = 0.5 Solving 1 + -1w = 0.5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1w = 0.5 + -1 Combine like terms: 1 + -1 = 0 0 + -1w = 0.5 + -1 -1w = 0.5 + -1 Combine like terms: 0.5 + -1 = -0.5 -1w = -0.5 Divide each side by '-1'. w = 0.5 Simplifying w = 0.5
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