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Simplifying 4(w + -8) = 8 + 3w Reorder the terms: 4(-8 + w) = 8 + 3w (-8 * 4 + w * 4) = 8 + 3w (-32 + 4w) = 8 + 3w Solving -32 + 4w = 8 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -32 + 4w + -3w = 8 + 3w + -3w Combine like terms: 4w + -3w = 1w -32 + 1w = 8 + 3w + -3w Combine like terms: 3w + -3w = 0 -32 + 1w = 8 + 0 -32 + 1w = 8 Add '32' to each side of the equation. -32 + 32 + 1w = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 1w = 8 + 32 1w = 8 + 32 Combine like terms: 8 + 32 = 40 1w = 40 Divide each side by '1'. w = 40 Simplifying w = 40
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