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Simplifying -2(w + 4) = -6w + 12 Reorder the terms: -2(4 + w) = -6w + 12 (4 * -2 + w * -2) = -6w + 12 (-8 + -2w) = -6w + 12 Reorder the terms: -8 + -2w = 12 + -6w Solving -8 + -2w = 12 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -8 + -2w + 6w = 12 + -6w + 6w Combine like terms: -2w + 6w = 4w -8 + 4w = 12 + -6w + 6w Combine like terms: -6w + 6w = 0 -8 + 4w = 12 + 0 -8 + 4w = 12 Add '8' to each side of the equation. -8 + 8 + 4w = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4w = 12 + 8 4w = 12 + 8 Combine like terms: 12 + 8 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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