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Simplifying 7(14e + -2) = 12(2e + 5) Reorder the terms: 7(-2 + 14e) = 12(2e + 5) (-2 * 7 + 14e * 7) = 12(2e + 5) (-14 + 98e) = 12(2e + 5) Reorder the terms: -14 + 98e = 12(5 + 2e) -14 + 98e = (5 * 12 + 2e * 12) -14 + 98e = (60 + 24e) Solving -14 + 98e = 60 + 24e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-24e' to each side of the equation. -14 + 98e + -24e = 60 + 24e + -24e Combine like terms: 98e + -24e = 74e -14 + 74e = 60 + 24e + -24e Combine like terms: 24e + -24e = 0 -14 + 74e = 60 + 0 -14 + 74e = 60 Add '14' to each side of the equation. -14 + 14 + 74e = 60 + 14 Combine like terms: -14 + 14 = 0 0 + 74e = 60 + 14 74e = 60 + 14 Combine like terms: 60 + 14 = 74 74e = 74 Divide each side by '74'. e = 1 Simplifying e = 1
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