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Simplifying 3(w + -8) = -3w + -42 Reorder the terms: 3(-8 + w) = -3w + -42 (-8 * 3 + w * 3) = -3w + -42 (-24 + 3w) = -3w + -42 Reorder the terms: -24 + 3w = -42 + -3w Solving -24 + 3w = -42 + -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. -24 + 3w + 3w = -42 + -3w + 3w Combine like terms: 3w + 3w = 6w -24 + 6w = -42 + -3w + 3w Combine like terms: -3w + 3w = 0 -24 + 6w = -42 + 0 -24 + 6w = -42 Add '24' to each side of the equation. -24 + 24 + 6w = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 6w = -42 + 24 6w = -42 + 24 Combine like terms: -42 + 24 = -18 6w = -18 Divide each side by '6'. w = -3 Simplifying w = -3
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