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Simplifying 15w + 17w + -7 + 6 = -3w + 6 + -7 Reorder the terms: -7 + 6 + 15w + 17w = -3w + 6 + -7 Combine like terms: -7 + 6 = -1 -1 + 15w + 17w = -3w + 6 + -7 Combine like terms: 15w + 17w = 32w -1 + 32w = -3w + 6 + -7 Reorder the terms: -1 + 32w = 6 + -7 + -3w Combine like terms: 6 + -7 = -1 -1 + 32w = -1 + -3w Add '1' to each side of the equation. -1 + 1 + 32w = -1 + 1 + -3w Combine like terms: -1 + 1 = 0 0 + 32w = -1 + 1 + -3w 32w = -1 + 1 + -3w Combine like terms: -1 + 1 = 0 32w = 0 + -3w 32w = -3w Solving 32w = -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. 32w + 3w = -3w + 3w Combine like terms: 32w + 3w = 35w 35w = -3w + 3w Combine like terms: -3w + 3w = 0 35w = 0 Divide each side by '35'. w = 0 Simplifying w = 0
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