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Simplifying -19 = 3(w + 7) + -7w Reorder the terms: -19 = 3(7 + w) + -7w -19 = (7 * 3 + w * 3) + -7w -19 = (21 + 3w) + -7w Combine like terms: 3w + -7w = -4w -19 = 21 + -4w Solving -19 = 21 + -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. -19 + 4w = 21 + -4w + 4w Combine like terms: -4w + 4w = 0 -19 + 4w = 21 + 0 -19 + 4w = 21 Add '19' to each side of the equation. -19 + 19 + 4w = 21 + 19 Combine like terms: -19 + 19 = 0 0 + 4w = 21 + 19 4w = 21 + 19 Combine like terms: 21 + 19 = 40 4w = 40 Divide each side by '4'. w = 10 Simplifying w = 10
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