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Simplifying 34 = 8(w + 8) + 7w Reorder the terms: 34 = 8(8 + w) + 7w 34 = (8 * 8 + w * 8) + 7w 34 = (64 + 8w) + 7w Combine like terms: 8w + 7w = 15w 34 = 64 + 15w Solving 34 = 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. 34 + -15w = 64 + 15w + -15w Combine like terms: 15w + -15w = 0 34 + -15w = 64 + 0 34 + -15w = 64 Add '-34' to each side of the equation. 34 + -34 + -15w = 64 + -34 Combine like terms: 34 + -34 = 0 0 + -15w = 64 + -34 -15w = 64 + -34 Combine like terms: 64 + -34 = 30 -15w = 30 Divide each side by '-15'. w = -2 Simplifying w = -2
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