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Simplifying 7(w + 2) = 3w + -18 Reorder the terms: 7(2 + w) = 3w + -18 (2 * 7 + w * 7) = 3w + -18 (14 + 7w) = 3w + -18 Reorder the terms: 14 + 7w = -18 + 3w Solving 14 + 7w = -18 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 14 + 7w + -3w = -18 + 3w + -3w Combine like terms: 7w + -3w = 4w 14 + 4w = -18 + 3w + -3w Combine like terms: 3w + -3w = 0 14 + 4w = -18 + 0 14 + 4w = -18 Add '-14' to each side of the equation. 14 + -14 + 4w = -18 + -14 Combine like terms: 14 + -14 = 0 0 + 4w = -18 + -14 4w = -18 + -14 Combine like terms: -18 + -14 = -32 4w = -32 Divide each side by '4'. w = -8 Simplifying w = -8
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