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Simplifying 10e + 15 = 5(19 + -6e) Reorder the terms: 15 + 10e = 5(19 + -6e) 15 + 10e = (19 * 5 + -6e * 5) 15 + 10e = (95 + -30e) Solving 15 + 10e = 95 + -30e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '30e' to each side of the equation. 15 + 10e + 30e = 95 + -30e + 30e Combine like terms: 10e + 30e = 40e 15 + 40e = 95 + -30e + 30e Combine like terms: -30e + 30e = 0 15 + 40e = 95 + 0 15 + 40e = 95 Add '-15' to each side of the equation. 15 + -15 + 40e = 95 + -15 Combine like terms: 15 + -15 = 0 0 + 40e = 95 + -15 40e = 95 + -15 Combine like terms: 95 + -15 = 80 40e = 80 Divide each side by '40'. e = 2 Simplifying e = 2
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