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Simplifying 32 + -1w = 7w Solving 32 + -1w = 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. 32 + -1w + -7w = 7w + -7w Combine like terms: -1w + -7w = -8w 32 + -8w = 7w + -7w Combine like terms: 7w + -7w = 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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