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Simplifying -15w + 4 = 24 + -7w Reorder the terms: 4 + -15w = 24 + -7w Solving 4 + -15w = 24 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 4 + -15w + 7w = 24 + -7w + 7w Combine like terms: -15w + 7w = -8w 4 + -8w = 24 + -7w + 7w Combine like terms: -7w + 7w = 0 4 + -8w = 24 + 0 4 + -8w = 24 Add '-4' to each side of the equation. 4 + -4 + -8w = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -8w = 24 + -4 -8w = 24 + -4 Combine like terms: 24 + -4 = 20 -8w = 20 Divide each side by '-8'. w = -2.5 Simplifying w = -2.5
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