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Simplifying -3e + 12 = 5(e + 52) Reorder the terms: 12 + -3e = 5(e + 52) Reorder the terms: 12 + -3e = 5(52 + e) 12 + -3e = (52 * 5 + e * 5) 12 + -3e = (260 + 5e) Solving 12 + -3e = 260 + 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 + -3e + -5e = 260 + 5e + -5e Combine like terms: -3e + -5e = -8e 12 + -8e = 260 + 5e + -5e Combine like terms: 5e + -5e = 0 12 + -8e = 260 + 0 12 + -8e = 260 Add '-12' to each side of the equation. 12 + -12 + -8e = 260 + -12 Combine like terms: 12 + -12 = 0 0 + -8e = 260 + -12 -8e = 260 + -12 Combine like terms: 260 + -12 = 248 -8e = 248 Divide each side by '-8'. e = -31 Simplifying e = -31
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