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Simplifying -8w + -28 = 3(w + 9) Reorder the terms: -28 + -8w = 3(w + 9) Reorder the terms: -28 + -8w = 3(9 + w) -28 + -8w = (9 * 3 + w * 3) -28 + -8w = (27 + 3w) Solving -28 + -8w = 27 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -28 + -8w + -3w = 27 + 3w + -3w Combine like terms: -8w + -3w = -11w -28 + -11w = 27 + 3w + -3w Combine like terms: 3w + -3w = 0 -28 + -11w = 27 + 0 -28 + -11w = 27 Add '28' to each side of the equation. -28 + 28 + -11w = 27 + 28 Combine like terms: -28 + 28 = 0 0 + -11w = 27 + 28 -11w = 27 + 28 Combine like terms: 27 + 28 = 55 -11w = 55 Divide each side by '-11'. w = -5 Simplifying w = -5
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