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Simplifying 15w + 18w + -7 + 1 = -4w + 1 + -7 Reorder the terms: -7 + 1 + 15w + 18w = -4w + 1 + -7 Combine like terms: -7 + 1 = -6 -6 + 15w + 18w = -4w + 1 + -7 Combine like terms: 15w + 18w = 33w -6 + 33w = -4w + 1 + -7 Reorder the terms: -6 + 33w = 1 + -7 + -4w Combine like terms: 1 + -7 = -6 -6 + 33w = -6 + -4w Add '6' to each side of the equation. -6 + 6 + 33w = -6 + 6 + -4w Combine like terms: -6 + 6 = 0 0 + 33w = -6 + 6 + -4w 33w = -6 + 6 + -4w Combine like terms: -6 + 6 = 0 33w = 0 + -4w 33w = -4w Solving 33w = -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. 33w + 4w = -4w + 4w Combine like terms: 33w + 4w = 37w 37w = -4w + 4w Combine like terms: -4w + 4w = 0 37w = 0 Divide each side by '37'. w = 0 Simplifying w = 0
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