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Simplifying 40 = 7 + -3w Solving 40 = 7 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 40 + 3w = 7 + -3w + 3w Combine like terms: -3w + 3w = 0 40 + 3w = 7 + 0 40 + 3w = 7 Add '-40' to each side of the equation. 40 + -40 + 3w = 7 + -40 Combine like terms: 40 + -40 = 0 0 + 3w = 7 + -40 3w = 7 + -40 Combine like terms: 7 + -40 = -33 3w = -33 Divide each side by '3'. w = -11 Simplifying w = -11
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