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Simplifying -2(w + -6) = 6w + -28 Reorder the terms: -2(-6 + w) = 6w + -28 (-6 * -2 + w * -2) = 6w + -28 (12 + -2w) = 6w + -28 Reorder the terms: 12 + -2w = -28 + 6w Solving 12 + -2w = -28 + 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. 12 + -2w + -6w = -28 + 6w + -6w Combine like terms: -2w + -6w = -8w 12 + -8w = -28 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + -8w = -28 + 0 12 + -8w = -28 Add '-12' to each side of the equation. 12 + -12 + -8w = -28 + -12 Combine like terms: 12 + -12 = 0 0 + -8w = -28 + -12 -8w = -28 + -12 Combine like terms: -28 + -12 = -40 -8w = -40 Divide each side by '-8'. w = 5 Simplifying w = 5
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