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Simplifying 15w + 17w + -5 + 1 = -3w + 1 + -5 Reorder the terms: -5 + 1 + 15w + 17w = -3w + 1 + -5 Combine like terms: -5 + 1 = -4 -4 + 15w + 17w = -3w + 1 + -5 Combine like terms: 15w + 17w = 32w -4 + 32w = -3w + 1 + -5 Reorder the terms: -4 + 32w = 1 + -5 + -3w Combine like terms: 1 + -5 = -4 -4 + 32w = -4 + -3w Add '4' to each side of the equation. -4 + 4 + 32w = -4 + 4 + -3w Combine like terms: -4 + 4 = 0 0 + 32w = -4 + 4 + -3w 32w = -4 + 4 + -3w Combine like terms: -4 + 4 = 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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