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Simplifying 15w + 19w + -7 + 6 = -2w + 6 + -7 Reorder the terms: -7 + 6 + 15w + 19w = -2w + 6 + -7 Combine like terms: -7 + 6 = -1 -1 + 15w + 19w = -2w + 6 + -7 Combine like terms: 15w + 19w = 34w -1 + 34w = -2w + 6 + -7 Reorder the terms: -1 + 34w = 6 + -7 + -2w Combine like terms: 6 + -7 = -1 -1 + 34w = -1 + -2w Add '1' to each side of the equation. -1 + 1 + 34w = -1 + 1 + -2w Combine like terms: -1 + 1 = 0 0 + 34w = -1 + 1 + -2w 34w = -1 + 1 + -2w Combine like terms: -1 + 1 = 0 34w = 0 + -2w 34w = -2w Solving 34w = -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 34w + 2w = -2w + 2w Combine like terms: 34w + 2w = 36w 36w = -2w + 2w Combine like terms: -2w + 2w = 0 36w = 0 Divide each side by '36'. w = 0 Simplifying w = 0
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