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Simplifying 40 + 3w = 80 + -3w Solving 40 + 3w = 80 + -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 + 3w = 80 + -3w + 3w Combine like terms: 3w + 3w = 6w 40 + 6w = 80 + -3w + 3w Combine like terms: -3w + 3w = 0 40 + 6w = 80 + 0 40 + 6w = 80 Add '-40' to each side of the equation. 40 + -40 + 6w = 80 + -40 Combine like terms: 40 + -40 = 0 0 + 6w = 80 + -40 6w = 80 + -40 Combine like terms: 80 + -40 = 40 6w = 40 Divide each side by '6'. w = 6.666666667 Simplifying w = 6.666666667
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