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Simplifying -3(w + 8) = -7w + -20 Reorder the terms: -3(8 + w) = -7w + -20 (8 * -3 + w * -3) = -7w + -20 (-24 + -3w) = -7w + -20 Reorder the terms: -24 + -3w = -20 + -7w Solving -24 + -3w = -20 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -24 + -3w + 7w = -20 + -7w + 7w Combine like terms: -3w + 7w = 4w -24 + 4w = -20 + -7w + 7w Combine like terms: -7w + 7w = 0 -24 + 4w = -20 + 0 -24 + 4w = -20 Add '24' to each side of the equation. -24 + 24 + 4w = -20 + 24 Combine like terms: -24 + 24 = 0 0 + 4w = -20 + 24 4w = -20 + 24 Combine like terms: -20 + 24 = 4 4w = 4 Divide each side by '4'. w = 1 Simplifying w = 1
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