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Simplifying -32 = 15w + -7w Combine like terms: 15w + -7w = 8w -32 = 8w Solving -32 = 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -32 + -8w = 8w + -8w Combine like terms: 8w + -8w = 0 -32 + -8w = 0 Add '32' to each side of the equation. -32 + 32 + -8w = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -8w = 0 + 32 -8w = 0 + 32 Combine like terms: 0 + 32 = 32 -8w = 32 Divide each side by '-8'. w = -4 Simplifying w = -4
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