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Simplifying -5(1 + -5e) + 5(-8e + -2) = -4e + -8e (1 * -5 + -5e * -5) + 5(-8e + -2) = -4e + -8e (-5 + 25e) + 5(-8e + -2) = -4e + -8e Reorder the terms: -5 + 25e + 5(-2 + -8e) = -4e + -8e -5 + 25e + (-2 * 5 + -8e * 5) = -4e + -8e -5 + 25e + (-10 + -40e) = -4e + -8e Reorder the terms: -5 + -10 + 25e + -40e = -4e + -8e Combine like terms: -5 + -10 = -15 -15 + 25e + -40e = -4e + -8e Combine like terms: 25e + -40e = -15e -15 + -15e = -4e + -8e Combine like terms: -4e + -8e = -12e -15 + -15e = -12e Solving -15 + -15e = -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. -15 + -15e + 12e = -12e + 12e Combine like terms: -15e + 12e = -3e -15 + -3e = -12e + 12e Combine like terms: -12e + 12e = 0 -15 + -3e = 0 Add '15' to each side of the equation. -15 + 15 + -3e = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3e = 0 + 15 -3e = 0 + 15 Combine like terms: 0 + 15 = 15 -3e = 15 Divide each side by '-3'. e = -5 Simplifying e = -5
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