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Simplifying -3(w + -7) = -7w + 17 Reorder the terms: -3(-7 + w) = -7w + 17 (-7 * -3 + w * -3) = -7w + 17 (21 + -3w) = -7w + 17 Reorder the terms: 21 + -3w = 17 + -7w Solving 21 + -3w = 17 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 21 + -3w + 7w = 17 + -7w + 7w Combine like terms: -3w + 7w = 4w 21 + 4w = 17 + -7w + 7w Combine like terms: -7w + 7w = 0 21 + 4w = 17 + 0 21 + 4w = 17 Add '-21' to each side of the equation. 21 + -21 + 4w = 17 + -21 Combine like terms: 21 + -21 = 0 0 + 4w = 17 + -21 4w = 17 + -21 Combine like terms: 17 + -21 = -4 4w = -4 Divide each side by '4'. w = -1 Simplifying w = -1
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