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Simplifying 6(w + -4) = -4w + -14 Reorder the terms: 6(-4 + w) = -4w + -14 (-4 * 6 + w * 6) = -4w + -14 (-24 + 6w) = -4w + -14 Reorder the terms: -24 + 6w = -14 + -4w Solving -24 + 6w = -14 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -24 + 6w + 4w = -14 + -4w + 4w Combine like terms: 6w + 4w = 10w -24 + 10w = -14 + -4w + 4w Combine like terms: -4w + 4w = 0 -24 + 10w = -14 + 0 -24 + 10w = -14 Add '24' to each side of the equation. -24 + 24 + 10w = -14 + 24 Combine like terms: -24 + 24 = 0 0 + 10w = -14 + 24 10w = -14 + 24 Combine like terms: -14 + 24 = 10 10w = 10 Divide each side by '10'. w = 1 Simplifying w = 1
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