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Simplifying 8w + -2(3w + -8) + 12 = 26 Reorder the terms: 8w + -2(-8 + 3w) + 12 = 26 8w + (-8 * -2 + 3w * -2) + 12 = 26 8w + (16 + -6w) + 12 = 26 Reorder the terms: 16 + 12 + 8w + -6w = 26 Combine like terms: 16 + 12 = 28 28 + 8w + -6w = 26 Combine like terms: 8w + -6w = 2w 28 + 2w = 26 Solving 28 + 2w = 26 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 2w = 26 + -28 Combine like terms: 28 + -28 = 0 0 + 2w = 26 + -28 2w = 26 + -28 Combine like terms: 26 + -28 = -2 2w = -2 Divide each side by '2'. w = -1 Simplifying w = -1
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