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Simplifying 5e + 14 = 12e + -42 Reorder the terms: 14 + 5e = 12e + -42 Reorder the terms: 14 + 5e = -42 + 12e Solving 14 + 5e = -42 + 12e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12e' to each side of the equation. 14 + 5e + -12e = -42 + 12e + -12e Combine like terms: 5e + -12e = -7e 14 + -7e = -42 + 12e + -12e Combine like terms: 12e + -12e = 0 14 + -7e = -42 + 0 14 + -7e = -42 Add '-14' to each side of the equation. 14 + -14 + -7e = -42 + -14 Combine like terms: 14 + -14 = 0 0 + -7e = -42 + -14 -7e = -42 + -14 Combine like terms: -42 + -14 = -56 -7e = -56 Divide each side by '-7'. e = 8 Simplifying e = 8
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