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Simplifying 5(3e + 1) = 2(2e + -3) Reorder the terms: 5(1 + 3e) = 2(2e + -3) (1 * 5 + 3e * 5) = 2(2e + -3) (5 + 15e) = 2(2e + -3) Reorder the terms: 5 + 15e = 2(-3 + 2e) 5 + 15e = (-3 * 2 + 2e * 2) 5 + 15e = (-6 + 4e) Solving 5 + 15e = -6 + 4e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4e' to each side of the equation. 5 + 15e + -4e = -6 + 4e + -4e Combine like terms: 15e + -4e = 11e 5 + 11e = -6 + 4e + -4e Combine like terms: 4e + -4e = 0 5 + 11e = -6 + 0 5 + 11e = -6 Add '-5' to each side of the equation. 5 + -5 + 11e = -6 + -5 Combine like terms: 5 + -5 = 0 0 + 11e = -6 + -5 11e = -6 + -5 Combine like terms: -6 + -5 = -11 11e = -11 Divide each side by '11'. e = -1 Simplifying e = -1
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