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Simplifying -5(3e + -2) = -2(6e + 7) Reorder the terms: -5(-2 + 3e) = -2(6e + 7) (-2 * -5 + 3e * -5) = -2(6e + 7) (10 + -15e) = -2(6e + 7) Reorder the terms: 10 + -15e = -2(7 + 6e) 10 + -15e = (7 * -2 + 6e * -2) 10 + -15e = (-14 + -12e) Solving 10 + -15e = -14 + -12e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '12e' to each side of the equation. 10 + -15e + 12e = -14 + -12e + 12e Combine like terms: -15e + 12e = -3e 10 + -3e = -14 + -12e + 12e Combine like terms: -12e + 12e = 0 10 + -3e = -14 + 0 10 + -3e = -14 Add '-10' to each side of the equation. 10 + -10 + -3e = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -3e = -14 + -10 -3e = -14 + -10 Combine like terms: -14 + -10 = -24 -3e = -24 Divide each side by '-3'. e = 8 Simplifying e = 8
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