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Simplifying 8(4 + -7w) = w (4 * 8 + -7w * 8) = w (32 + -56w) = w Solving 32 + -56w = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 32 + -56w + -1w = w + -1w Combine like terms: -56w + -1w = -57w 32 + -57w = w + -1w Combine like terms: w + -1w = 0 32 + -57w = 0 Add '-32' to each side of the equation. 32 + -32 + -57w = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -57w = 0 + -32 -57w = 0 + -32 Combine like terms: 0 + -32 = -32 -57w = -32 Divide each side by '-57'. w = 0.5614035088 Simplifying w = 0.5614035088
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