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Simplifying 15(e + -3) = 10(e + 2) Reorder the terms: 15(-3 + e) = 10(e + 2) (-3 * 15 + e * 15) = 10(e + 2) (-45 + 15e) = 10(e + 2) Reorder the terms: -45 + 15e = 10(2 + e) -45 + 15e = (2 * 10 + e * 10) -45 + 15e = (20 + 10e) Solving -45 + 15e = 20 + 10e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-10e' to each side of the equation. -45 + 15e + -10e = 20 + 10e + -10e Combine like terms: 15e + -10e = 5e -45 + 5e = 20 + 10e + -10e Combine like terms: 10e + -10e = 0 -45 + 5e = 20 + 0 -45 + 5e = 20 Add '45' to each side of the equation. -45 + 45 + 5e = 20 + 45 Combine like terms: -45 + 45 = 0 0 + 5e = 20 + 45 5e = 20 + 45 Combine like terms: 20 + 45 = 65 5e = 65 Divide each side by '5'. e = 13 Simplifying e = 13
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