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Simplifying 11w + 19w + -7 + 6 = -4w + 6 + -7 Reorder the terms: -7 + 6 + 11w + 19w = -4w + 6 + -7 Combine like terms: -7 + 6 = -1 -1 + 11w + 19w = -4w + 6 + -7 Combine like terms: 11w + 19w = 30w -1 + 30w = -4w + 6 + -7 Reorder the terms: -1 + 30w = 6 + -7 + -4w Combine like terms: 6 + -7 = -1 -1 + 30w = -1 + -4w Add '1' to each side of the equation. -1 + 1 + 30w = -1 + 1 + -4w Combine like terms: -1 + 1 = 0 0 + 30w = -1 + 1 + -4w 30w = -1 + 1 + -4w Combine like terms: -1 + 1 = 0 30w = 0 + -4w 30w = -4w Solving 30w = -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. 30w + 4w = -4w + 4w Combine like terms: 30w + 4w = 34w 34w = -4w + 4w Combine like terms: -4w + 4w = 0 34w = 0 Divide each side by '34'. w = 0 Simplifying w = 0
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