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Simplifying 6e + 5(w + -2) = 23 Reorder the terms: 6e + 5(-2 + w) = 23 6e + (-2 * 5 + w * 5) = 23 6e + (-10 + 5w) = 23 Reorder the terms: -10 + 6e + 5w = 23 Solving -10 + 6e + 5w = 23 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 6e + 10 + 5w = 23 + 10 Reorder the terms: -10 + 10 + 6e + 5w = 23 + 10 Combine like terms: -10 + 10 = 0 0 + 6e + 5w = 23 + 10 6e + 5w = 23 + 10 Combine like terms: 23 + 10 = 33 6e + 5w = 33 Add '-5w' to each side of the equation. 6e + 5w + -5w = 33 + -5w Combine like terms: 5w + -5w = 0 6e + 0 = 33 + -5w 6e = 33 + -5w Divide each side by '6'. e = 5.5 + -0.8333333333w Simplifying e = 5.5 + -0.8333333333w
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