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Simplifying -2(w + -8) + 6 = -12 Reorder the terms: -2(-8 + w) + 6 = -12 (-8 * -2 + w * -2) + 6 = -12 (16 + -2w) + 6 = -12 Reorder the terms: 16 + 6 + -2w = -12 Combine like terms: 16 + 6 = 22 22 + -2w = -12 Solving 22 + -2w = -12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -2w = -12 + -22 Combine like terms: 22 + -22 = 0 0 + -2w = -12 + -22 -2w = -12 + -22 Combine like terms: -12 + -22 = -34 -2w = -34 Divide each side by '-2'. w = 17 Simplifying w = 17
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