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Simplifying 5(e + 6) = 7e + 19 Reorder the terms: 5(6 + e) = 7e + 19 (6 * 5 + e * 5) = 7e + 19 (30 + 5e) = 7e + 19 Reorder the terms: 30 + 5e = 19 + 7e Solving 30 + 5e = 19 + 7e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-7e' to each side of the equation. 30 + 5e + -7e = 19 + 7e + -7e Combine like terms: 5e + -7e = -2e 30 + -2e = 19 + 7e + -7e Combine like terms: 7e + -7e = 0 30 + -2e = 19 + 0 30 + -2e = 19 Add '-30' to each side of the equation. 30 + -30 + -2e = 19 + -30 Combine like terms: 30 + -30 = 0 0 + -2e = 19 + -30 -2e = 19 + -30 Combine like terms: 19 + -30 = -11 -2e = -11 Divide each side by '-2'. e = 5.5 Simplifying e = 5.5
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