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Simplifying 8w + -28 = -2(w + -6) Reorder the terms: -28 + 8w = -2(w + -6) Reorder the terms: -28 + 8w = -2(-6 + w) -28 + 8w = (-6 * -2 + w * -2) -28 + 8w = (12 + -2w) Solving -28 + 8w = 12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -28 + 8w + 2w = 12 + -2w + 2w Combine like terms: 8w + 2w = 10w -28 + 10w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 -28 + 10w = 12 + 0 -28 + 10w = 12 Add '28' to each side of the equation. -28 + 28 + 10w = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 10w = 12 + 28 10w = 12 + 28 Combine like terms: 12 + 28 = 40 10w = 40 Divide each side by '10'. w = 4 Simplifying w = 4
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