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Simplifying (4w + -28) + (11w + 13) = 1 Reorder the terms: (-28 + 4w) + (11w + 13) = 1 Remove parenthesis around (-28 + 4w) -28 + 4w + (11w + 13) = 1 Reorder the terms: -28 + 4w + (13 + 11w) = 1 Remove parenthesis around (13 + 11w) -28 + 4w + 13 + 11w = 1 Reorder the terms: -28 + 13 + 4w + 11w = 1 Combine like terms: -28 + 13 = -15 -15 + 4w + 11w = 1 Combine like terms: 4w + 11w = 15w -15 + 15w = 1 Solving -15 + 15w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 15w = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 15w = 1 + 15 15w = 1 + 15 Combine like terms: 1 + 15 = 16 15w = 16 Divide each side by '15'. w = 1.066666667 Simplifying w = 1.066666667
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