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Simplifying -3 + -8e + 15 + 2e = 4e + 42 Reorder the terms: -3 + 15 + -8e + 2e = 4e + 42 Combine like terms: -3 + 15 = 12 12 + -8e + 2e = 4e + 42 Combine like terms: -8e + 2e = -6e 12 + -6e = 4e + 42 Reorder the terms: 12 + -6e = 42 + 4e Solving 12 + -6e = 42 + 4e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4e' to each side of the equation. 12 + -6e + -4e = 42 + 4e + -4e Combine like terms: -6e + -4e = -10e 12 + -10e = 42 + 4e + -4e Combine like terms: 4e + -4e = 0 12 + -10e = 42 + 0 12 + -10e = 42 Add '-12' to each side of the equation. 12 + -12 + -10e = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -10e = 42 + -12 -10e = 42 + -12 Combine like terms: 42 + -12 = 30 -10e = 30 Divide each side by '-10'. e = -3 Simplifying e = -3
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