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Simplifying 116 = 500 + -3w Solving 116 = 500 + -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. 116 + 3w = 500 + -3w + 3w Combine like terms: -3w + 3w = 0 116 + 3w = 500 + 0 116 + 3w = 500 Add '-116' to each side of the equation. 116 + -116 + 3w = 500 + -116 Combine like terms: 116 + -116 = 0 0 + 3w = 500 + -116 3w = 500 + -116 Combine like terms: 500 + -116 = 384 3w = 384 Divide each side by '3'. w = 128 Simplifying w = 128
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