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Simplifying 4(8w + -6) = 69 + w Reorder the terms: 4(-6 + 8w) = 69 + w (-6 * 4 + 8w * 4) = 69 + w (-24 + 32w) = 69 + w Solving -24 + 32w = 69 + 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. -24 + 32w + -1w = 69 + w + -1w Combine like terms: 32w + -1w = 31w -24 + 31w = 69 + w + -1w Combine like terms: w + -1w = 0 -24 + 31w = 69 + 0 -24 + 31w = 69 Add '24' to each side of the equation. -24 + 24 + 31w = 69 + 24 Combine like terms: -24 + 24 = 0 0 + 31w = 69 + 24 31w = 69 + 24 Combine like terms: 69 + 24 = 93 31w = 93 Divide each side by '31'. w = 3 Simplifying w = 3
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