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Simplifying -28 = 8(w + 2) + 3w Reorder the terms: -28 = 8(2 + w) + 3w -28 = (2 * 8 + w * 8) + 3w -28 = (16 + 8w) + 3w Combine like terms: 8w + 3w = 11w -28 = 16 + 11w Solving -28 = 16 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -28 + -11w = 16 + 11w + -11w Combine like terms: 11w + -11w = 0 -28 + -11w = 16 + 0 -28 + -11w = 16 Add '28' to each side of the equation. -28 + 28 + -11w = 16 + 28 Combine like terms: -28 + 28 = 0 0 + -11w = 16 + 28 -11w = 16 + 28 Combine like terms: 16 + 28 = 44 -11w = 44 Divide each side by '-11'. w = -4 Simplifying w = -4
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