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Simplifying 8(w + 3) + 4 = -7w + 11 Reorder the terms: 8(3 + w) + 4 = -7w + 11 (3 * 8 + w * 8) + 4 = -7w + 11 (24 + 8w) + 4 = -7w + 11 Reorder the terms: 24 + 4 + 8w = -7w + 11 Combine like terms: 24 + 4 = 28 28 + 8w = -7w + 11 Reorder the terms: 28 + 8w = 11 + -7w Solving 28 + 8w = 11 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 28 + 8w + 7w = 11 + -7w + 7w Combine like terms: 8w + 7w = 15w 28 + 15w = 11 + -7w + 7w Combine like terms: -7w + 7w = 0 28 + 15w = 11 + 0 28 + 15w = 11 Add '-28' to each side of the equation. 28 + -28 + 15w = 11 + -28 Combine like terms: 28 + -28 = 0 0 + 15w = 11 + -28 15w = 11 + -28 Combine like terms: 11 + -28 = -17 15w = -17 Divide each side by '15'. w = -1.133333333 Simplifying w = -1.133333333
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