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Simplifying 15w + 17w + -4 + 1 = 5w + 1 + -4 Reorder the terms: -4 + 1 + 15w + 17w = 5w + 1 + -4 Combine like terms: -4 + 1 = -3 -3 + 15w + 17w = 5w + 1 + -4 Combine like terms: 15w + 17w = 32w -3 + 32w = 5w + 1 + -4 Reorder the terms: -3 + 32w = 1 + -4 + 5w Combine like terms: 1 + -4 = -3 -3 + 32w = -3 + 5w Add '3' to each side of the equation. -3 + 3 + 32w = -3 + 3 + 5w Combine like terms: -3 + 3 = 0 0 + 32w = -3 + 3 + 5w 32w = -3 + 3 + 5w Combine like terms: -3 + 3 = 0 32w = 0 + 5w 32w = 5w Solving 32w = 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 32w + -5w = 5w + -5w Combine like terms: 32w + -5w = 27w 27w = 5w + -5w Combine like terms: 5w + -5w = 0 27w = 0 Divide each side by '27'. w = 0 Simplifying w = 0
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