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