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Simplifying w + 14 = 8(w + 7) Reorder the terms: 14 + w = 8(w + 7) Reorder the terms: 14 + w = 8(7 + w) 14 + w = (7 * 8 + w * 8) 14 + w = (56 + 8w) Solving 14 + w = 56 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 14 + w + -8w = 56 + 8w + -8w Combine like terms: w + -8w = -7w 14 + -7w = 56 + 8w + -8w Combine like terms: 8w + -8w = 0 14 + -7w = 56 + 0 14 + -7w = 56 Add '-14' to each side of the equation. 14 + -14 + -7w = 56 + -14 Combine like terms: 14 + -14 = 0 0 + -7w = 56 + -14 -7w = 56 + -14 Combine like terms: 56 + -14 = 42 -7w = 42 Divide each side by '-7'. w = -6 Simplifying w = -6
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