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