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Simplifying 12e + -1(19) = 7 + -1e Multiply -1 * 19 12e + -19 = 7 + -1e Reorder the terms: -19 + 12e = 7 + -1e Solving -19 + 12e = 7 + -1e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add 'e' to each side of the equation. -19 + 12e + e = 7 + -1e + e Combine like terms: 12e + e = 13e -19 + 13e = 7 + -1e + e Combine like terms: -1e + e = 0 -19 + 13e = 7 + 0 -19 + 13e = 7 Add '19' to each side of the equation. -19 + 19 + 13e = 7 + 19 Combine like terms: -19 + 19 = 0 0 + 13e = 7 + 19 13e = 7 + 19 Combine like terms: 7 + 19 = 26 13e = 26 Divide each side by '13'. e = 2 Simplifying e = 2
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