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Simplifying 13w + 19w + -4 + 1 = 4w + 1 + -4 Reorder the terms: -4 + 1 + 13w + 19w = 4w + 1 + -4 Combine like terms: -4 + 1 = -3 -3 + 13w + 19w = 4w + 1 + -4 Combine like terms: 13w + 19w = 32w -3 + 32w = 4w + 1 + -4 Reorder the terms: -3 + 32w = 1 + -4 + 4w Combine like terms: 1 + -4 = -3 -3 + 32w = -3 + 4w Add '3' to each side of the equation. -3 + 3 + 32w = -3 + 3 + 4w Combine like terms: -3 + 3 = 0 0 + 32w = -3 + 3 + 4w 32w = -3 + 3 + 4w Combine like terms: -3 + 3 = 0 32w = 0 + 4w 32w = 4w Solving 32w = 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. 32w + -4w = 4w + -4w Combine like terms: 32w + -4w = 28w 28w = 4w + -4w Combine like terms: 4w + -4w = 0 28w = 0 Divide each side by '28'. w = 0 Simplifying w = 0
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