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Simplifying 2w + 28 = -6(w + 6) Reorder the terms: 28 + 2w = -6(w + 6) Reorder the terms: 28 + 2w = -6(6 + w) 28 + 2w = (6 * -6 + w * -6) 28 + 2w = (-36 + -6w) Solving 28 + 2w = -36 + -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. 28 + 2w + 6w = -36 + -6w + 6w Combine like terms: 2w + 6w = 8w 28 + 8w = -36 + -6w + 6w Combine like terms: -6w + 6w = 0 28 + 8w = -36 + 0 28 + 8w = -36 Add '-28' to each side of the equation. 28 + -28 + 8w = -36 + -28 Combine like terms: 28 + -28 = 0 0 + 8w = -36 + -28 8w = -36 + -28 Combine like terms: -36 + -28 = -64 8w = -64 Divide each side by '8'. w = -8 Simplifying w = -8
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