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Simplifying -11 = 7w + 8(w + 8) Reorder the terms: -11 = 7w + 8(8 + w) -11 = 7w + (8 * 8 + w * 8) -11 = 7w + (64 + 8w) Reorder the terms: -11 = 64 + 7w + 8w Combine like terms: 7w + 8w = 15w -11 = 64 + 15w Solving -11 = 64 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -11 + -15w = 64 + 15w + -15w Combine like terms: 15w + -15w = 0 -11 + -15w = 64 + 0 -11 + -15w = 64 Add '11' to each side of the equation. -11 + 11 + -15w = 64 + 11 Combine like terms: -11 + 11 = 0 0 + -15w = 64 + 11 -15w = 64 + 11 Combine like terms: 64 + 11 = 75 -15w = 75 Divide each side by '-15'. w = -5 Simplifying w = -5
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