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Simplifying 8(e + 6) = 3(e + 33) Reorder the terms: 8(6 + e) = 3(e + 33) (6 * 8 + e * 8) = 3(e + 33) (48 + 8e) = 3(e + 33) Reorder the terms: 48 + 8e = 3(33 + e) 48 + 8e = (33 * 3 + e * 3) 48 + 8e = (99 + 3e) Solving 48 + 8e = 99 + 3e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3e' to each side of the equation. 48 + 8e + -3e = 99 + 3e + -3e Combine like terms: 8e + -3e = 5e 48 + 5e = 99 + 3e + -3e Combine like terms: 3e + -3e = 0 48 + 5e = 99 + 0 48 + 5e = 99 Add '-48' to each side of the equation. 48 + -48 + 5e = 99 + -48 Combine like terms: 48 + -48 = 0 0 + 5e = 99 + -48 5e = 99 + -48 Combine like terms: 99 + -48 = 51 5e = 51 Divide each side by '5'. e = 10.2 Simplifying e = 10.2
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