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Simplifying 4(e + 3) = 5e + 8 Reorder the terms: 4(3 + e) = 5e + 8 (3 * 4 + e * 4) = 5e + 8 (12 + 4e) = 5e + 8 Reorder the terms: 12 + 4e = 8 + 5e Solving 12 + 4e = 8 + 5e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-5e' to each side of the equation. 12 + 4e + -5e = 8 + 5e + -5e Combine like terms: 4e + -5e = -1e 12 + -1e = 8 + 5e + -5e Combine like terms: 5e + -5e = 0 12 + -1e = 8 + 0 12 + -1e = 8 Add '-12' to each side of the equation. 12 + -12 + -1e = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -1e = 8 + -12 -1e = 8 + -12 Combine like terms: 8 + -12 = -4 -1e = -4 Divide each side by '-1'. e = 4 Simplifying e = 4
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