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Simplifying -7(7w + -20) + -14 = 7(-9w + -4) Reorder the terms: -7(-20 + 7w) + -14 = 7(-9w + -4) (-20 * -7 + 7w * -7) + -14 = 7(-9w + -4) (140 + -49w) + -14 = 7(-9w + -4) Reorder the terms: 140 + -14 + -49w = 7(-9w + -4) Combine like terms: 140 + -14 = 126 126 + -49w = 7(-9w + -4) Reorder the terms: 126 + -49w = 7(-4 + -9w) 126 + -49w = (-4 * 7 + -9w * 7) 126 + -49w = (-28 + -63w) Solving 126 + -49w = -28 + -63w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '63w' to each side of the equation. 126 + -49w + 63w = -28 + -63w + 63w Combine like terms: -49w + 63w = 14w 126 + 14w = -28 + -63w + 63w Combine like terms: -63w + 63w = 0 126 + 14w = -28 + 0 126 + 14w = -28 Add '-126' to each side of the equation. 126 + -126 + 14w = -28 + -126 Combine like terms: 126 + -126 = 0 0 + 14w = -28 + -126 14w = -28 + -126 Combine like terms: -28 + -126 = -154 14w = -154 Divide each side by '14'. w = -11 Simplifying w = -11
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