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Simplifying -34 = 8(w + 7) + 7w Reorder the terms: -34 = 8(7 + w) + 7w -34 = (7 * 8 + w * 8) + 7w -34 = (56 + 8w) + 7w Combine like terms: 8w + 7w = 15w -34 = 56 + 15w Solving -34 = 56 + 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 = 56 + 15w + -15w Combine like terms: 15w + -15w = 0 -34 + -15w = 56 + 0 -34 + -15w = 56 Add '34' to each side of the equation. -34 + 34 + -15w = 56 + 34 Combine like terms: -34 + 34 = 0 0 + -15w = 56 + 34 -15w = 56 + 34 Combine like terms: 56 + 34 = 90 -15w = 90 Divide each side by '-15'. w = -6 Simplifying w = -6
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