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Simplifying 40 = w + 7w Combine like terms: w + 7w = 8w 40 = 8w Solving 40 = 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. 40 + -8w = 8w + -8w Combine like terms: 8w + -8w = 0 40 + -8w = 0 Add '-40' to each side of the equation. 40 + -40 + -8w = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -8w = 0 + -40 -8w = 0 + -40 Combine like terms: 0 + -40 = -40 -8w = -40 Divide each side by '-8'. w = 5 Simplifying w = 5
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