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Simplifying 4(e + 6) = 48 + -2e Reorder the terms: 4(6 + e) = 48 + -2e (6 * 4 + e * 4) = 48 + -2e (24 + 4e) = 48 + -2e Solving 24 + 4e = 48 + -2e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '2e' to each side of the equation. 24 + 4e + 2e = 48 + -2e + 2e Combine like terms: 4e + 2e = 6e 24 + 6e = 48 + -2e + 2e Combine like terms: -2e + 2e = 0 24 + 6e = 48 + 0 24 + 6e = 48 Add '-24' to each side of the equation. 24 + -24 + 6e = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 6e = 48 + -24 6e = 48 + -24 Combine like terms: 48 + -24 = 24 6e = 24 Divide each side by '6'. e = 4 Simplifying e = 4
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