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Simplifying -6 = 3(w + 6) + -7w Reorder the terms: -6 = 3(6 + w) + -7w -6 = (6 * 3 + w * 3) + -7w -6 = (18 + 3w) + -7w Combine like terms: 3w + -7w = -4w -6 = 18 + -4w Solving -6 = 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. -6 + 4w = 18 + -4w + 4w Combine like terms: -4w + 4w = 0 -6 + 4w = 18 + 0 -6 + 4w = 18 Add '6' to each side of the equation. -6 + 6 + 4w = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 4w = 18 + 6 4w = 18 + 6 Combine like terms: 18 + 6 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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