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Simplifying 11e + -12 + 9e + -16 = 13e + 42 Reorder the terms: -12 + -16 + 11e + 9e = 13e + 42 Combine like terms: -12 + -16 = -28 -28 + 11e + 9e = 13e + 42 Combine like terms: 11e + 9e = 20e -28 + 20e = 13e + 42 Reorder the terms: -28 + 20e = 42 + 13e Solving -28 + 20e = 42 + 13e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-13e' to each side of the equation. -28 + 20e + -13e = 42 + 13e + -13e Combine like terms: 20e + -13e = 7e -28 + 7e = 42 + 13e + -13e Combine like terms: 13e + -13e = 0 -28 + 7e = 42 + 0 -28 + 7e = 42 Add '28' to each side of the equation. -28 + 28 + 7e = 42 + 28 Combine like terms: -28 + 28 = 0 0 + 7e = 42 + 28 7e = 42 + 28 Combine like terms: 42 + 28 = 70 7e = 70 Divide each side by '7'. e = 10 Simplifying e = 10
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