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Simplifying 2 + -6(e + 3) = 4 + -1(7 + -3e) Reorder the terms: 2 + -6(3 + e) = 4 + -1(7 + -3e) 2 + (3 * -6 + e * -6) = 4 + -1(7 + -3e) 2 + (-18 + -6e) = 4 + -1(7 + -3e) Combine like terms: 2 + -18 = -16 -16 + -6e = 4 + -1(7 + -3e) -16 + -6e = 4 + (7 * -1 + -3e * -1) -16 + -6e = 4 + (-7 + 3e) Combine like terms: 4 + -7 = -3 -16 + -6e = -3 + 3e Solving -16 + -6e = -3 + 3e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3e' to each side of the equation. -16 + -6e + -3e = -3 + 3e + -3e Combine like terms: -6e + -3e = -9e -16 + -9e = -3 + 3e + -3e Combine like terms: 3e + -3e = 0 -16 + -9e = -3 + 0 -16 + -9e = -3 Add '16' to each side of the equation. -16 + 16 + -9e = -3 + 16 Combine like terms: -16 + 16 = 0 0 + -9e = -3 + 16 -9e = -3 + 16 Combine like terms: -3 + 16 = 13 -9e = 13 Divide each side by '-9'. e = -1.444444444 Simplifying e = -1.444444444
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