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Simplifying 5(3e + -7) + 2(9 + -2e) = 8e + -2(e + 1) + -15 Reorder the terms: 5(-7 + 3e) + 2(9 + -2e) = 8e + -2(e + 1) + -15 (-7 * 5 + 3e * 5) + 2(9 + -2e) = 8e + -2(e + 1) + -15 (-35 + 15e) + 2(9 + -2e) = 8e + -2(e + 1) + -15 -35 + 15e + (9 * 2 + -2e * 2) = 8e + -2(e + 1) + -15 -35 + 15e + (18 + -4e) = 8e + -2(e + 1) + -15 Reorder the terms: -35 + 18 + 15e + -4e = 8e + -2(e + 1) + -15 Combine like terms: -35 + 18 = -17 -17 + 15e + -4e = 8e + -2(e + 1) + -15 Combine like terms: 15e + -4e = 11e -17 + 11e = 8e + -2(e + 1) + -15 Reorder the terms: -17 + 11e = 8e + -2(1 + e) + -15 -17 + 11e = 8e + (1 * -2 + e * -2) + -15 -17 + 11e = 8e + (-2 + -2e) + -15 Reorder the terms: -17 + 11e = -2 + -15 + 8e + -2e Combine like terms: -2 + -15 = -17 -17 + 11e = -17 + 8e + -2e Combine like terms: 8e + -2e = 6e -17 + 11e = -17 + 6e Add '17' to each side of the equation. -17 + 17 + 11e = -17 + 17 + 6e Combine like terms: -17 + 17 = 0 0 + 11e = -17 + 17 + 6e 11e = -17 + 17 + 6e Combine like terms: -17 + 17 = 0 11e = 0 + 6e 11e = 6e Solving 11e = 6e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6e' to each side of the equation. 11e + -6e = 6e + -6e Combine like terms: 11e + -6e = 5e 5e = 6e + -6e Combine like terms: 6e + -6e = 0 5e = 0 Divide each side by '5'. e = 0 Simplifying e = 0
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