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Simplifying 6(w + -4) = 2w + 16 Reorder the terms: 6(-4 + w) = 2w + 16 (-4 * 6 + w * 6) = 2w + 16 (-24 + 6w) = 2w + 16 Reorder the terms: -24 + 6w = 16 + 2w Solving -24 + 6w = 16 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -24 + 6w + -2w = 16 + 2w + -2w Combine like terms: 6w + -2w = 4w -24 + 4w = 16 + 2w + -2w Combine like terms: 2w + -2w = 0 -24 + 4w = 16 + 0 -24 + 4w = 16 Add '24' to each side of the equation. -24 + 24 + 4w = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 4w = 16 + 24 4w = 16 + 24 Combine like terms: 16 + 24 = 40 4w = 40 Divide each side by '4'. w = 10 Simplifying w = 10
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