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Simplifying 2(w + -8) = -4w + 14 Reorder the terms: 2(-8 + w) = -4w + 14 (-8 * 2 + w * 2) = -4w + 14 (-16 + 2w) = -4w + 14 Reorder the terms: -16 + 2w = 14 + -4w Solving -16 + 2w = 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. -16 + 2w + 4w = 14 + -4w + 4w Combine like terms: 2w + 4w = 6w -16 + 6w = 14 + -4w + 4w Combine like terms: -4w + 4w = 0 -16 + 6w = 14 + 0 -16 + 6w = 14 Add '16' to each side of the equation. -16 + 16 + 6w = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 6w = 14 + 16 6w = 14 + 16 Combine like terms: 14 + 16 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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