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Simplifying 5(e + -5) = 9(e + -25) Reorder the terms: 5(-5 + e) = 9(e + -25) (-5 * 5 + e * 5) = 9(e + -25) (-25 + 5e) = 9(e + -25) Reorder the terms: -25 + 5e = 9(-25 + e) -25 + 5e = (-25 * 9 + e * 9) -25 + 5e = (-225 + 9e) Solving -25 + 5e = -225 + 9e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-9e' to each side of the equation. -25 + 5e + -9e = -225 + 9e + -9e Combine like terms: 5e + -9e = -4e -25 + -4e = -225 + 9e + -9e Combine like terms: 9e + -9e = 0 -25 + -4e = -225 + 0 -25 + -4e = -225 Add '25' to each side of the equation. -25 + 25 + -4e = -225 + 25 Combine like terms: -25 + 25 = 0 0 + -4e = -225 + 25 -4e = -225 + 25 Combine like terms: -225 + 25 = -200 -4e = -200 Divide each side by '-4'. e = 50 Simplifying e = 50
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