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Simplifying -7(w + -7) = -3w + 13 Reorder the terms: -7(-7 + w) = -3w + 13 (-7 * -7 + w * -7) = -3w + 13 (49 + -7w) = -3w + 13 Reorder the terms: 49 + -7w = 13 + -3w Solving 49 + -7w = 13 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 49 + -7w + 3w = 13 + -3w + 3w Combine like terms: -7w + 3w = -4w 49 + -4w = 13 + -3w + 3w Combine like terms: -3w + 3w = 0 49 + -4w = 13 + 0 49 + -4w = 13 Add '-49' to each side of the equation. 49 + -49 + -4w = 13 + -49 Combine like terms: 49 + -49 = 0 0 + -4w = 13 + -49 -4w = 13 + -49 Combine like terms: 13 + -49 = -36 -4w = -36 Divide each side by '-4'. w = 9 Simplifying w = 9
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