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Simplifying -6w + 2 = -8(w + 2) Reorder the terms: 2 + -6w = -8(w + 2) Reorder the terms: 2 + -6w = -8(2 + w) 2 + -6w = (2 * -8 + w * -8) 2 + -6w = (-16 + -8w) Solving 2 + -6w = -16 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 2 + -6w + 8w = -16 + -8w + 8w Combine like terms: -6w + 8w = 2w 2 + 2w = -16 + -8w + 8w Combine like terms: -8w + 8w = 0 2 + 2w = -16 + 0 2 + 2w = -16 Add '-2' to each side of the equation. 2 + -2 + 2w = -16 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = -16 + -2 2w = -16 + -2 Combine like terms: -16 + -2 = -18 2w = -18 Divide each side by '2'. w = -9 Simplifying w = -9
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