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Simplifying 7w + 32 = -15w Reorder the terms: 32 + 7w = -15w Solving 32 + 7w = -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. 32 + 7w + 15w = -15w + 15w Combine like terms: 7w + 15w = 22w 32 + 22w = -15w + 15w Combine like terms: -15w + 15w = 0 32 + 22w = 0 Add '-32' to each side of the equation. 32 + -32 + 22w = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 22w = 0 + -32 22w = 0 + -32 Combine like terms: 0 + -32 = -32 22w = -32 Divide each side by '22'. w = -1.454545455 Simplifying w = -1.454545455
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