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Simplifying -2 = -7w + 3(w + 6) Reorder the terms: -2 = -7w + 3(6 + w) -2 = -7w + (6 * 3 + w * 3) -2 = -7w + (18 + 3w) Reorder the terms: -2 = 18 + -7w + 3w Combine like terms: -7w + 3w = -4w -2 = 18 + -4w Solving -2 = 18 + -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. -2 + 4w = 18 + -4w + 4w Combine like terms: -4w + 4w = 0 -2 + 4w = 18 + 0 -2 + 4w = 18 Add '2' to each side of the equation. -2 + 2 + 4w = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 4w = 18 + 2 4w = 18 + 2 Combine like terms: 18 + 2 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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