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Simplifying 2w + 8 = -6(w + -4) Reorder the terms: 8 + 2w = -6(w + -4) Reorder the terms: 8 + 2w = -6(-4 + w) 8 + 2w = (-4 * -6 + w * -6) 8 + 2w = (24 + -6w) Solving 8 + 2w = 24 + -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 = 24 + -6w + 6w Combine like terms: 2w + 6w = 8w 8 + 8w = 24 + -6w + 6w Combine like terms: -6w + 6w = 0 8 + 8w = 24 + 0 8 + 8w = 24 Add '-8' to each side of the equation. 8 + -8 + 8w = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 8w = 24 + -8 8w = 24 + -8 Combine like terms: 24 + -8 = 16 8w = 16 Divide each side by '8'. w = 2 Simplifying w = 2
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