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Simplifying 7(w + 2) = 8(w + -2) Reorder the terms: 7(2 + w) = 8(w + -2) (2 * 7 + w * 7) = 8(w + -2) (14 + 7w) = 8(w + -2) Reorder the terms: 14 + 7w = 8(-2 + w) 14 + 7w = (-2 * 8 + w * 8) 14 + 7w = (-16 + 8w) Solving 14 + 7w = -16 + 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 + 7w + -8w = -16 + 8w + -8w Combine like terms: 7w + -8w = -1w 14 + -1w = -16 + 8w + -8w Combine like terms: 8w + -8w = 0 14 + -1w = -16 + 0 14 + -1w = -16 Add '-14' to each side of the equation. 14 + -14 + -1w = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -1w = -16 + -14 -1w = -16 + -14 Combine like terms: -16 + -14 = -30 -1w = -30 Divide each side by '-1'. w = 30 Simplifying w = 30
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