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Simplifying 2 + 2(e + -2) = 2e + -3(e + 5) Reorder the terms: 2 + 2(-2 + e) = 2e + -3(e + 5) 2 + (-2 * 2 + e * 2) = 2e + -3(e + 5) 2 + (-4 + 2e) = 2e + -3(e + 5) Combine like terms: 2 + -4 = -2 -2 + 2e = 2e + -3(e + 5) Reorder the terms: -2 + 2e = 2e + -3(5 + e) -2 + 2e = 2e + (5 * -3 + e * -3) -2 + 2e = 2e + (-15 + -3e) Reorder the terms: -2 + 2e = -15 + 2e + -3e Combine like terms: 2e + -3e = -1e -2 + 2e = -15 + -1e Solving -2 + 2e = -15 + -1e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add 'e' to each side of the equation. -2 + 2e + e = -15 + -1e + e Combine like terms: 2e + e = 3e -2 + 3e = -15 + -1e + e Combine like terms: -1e + e = 0 -2 + 3e = -15 + 0 -2 + 3e = -15 Add '2' to each side of the equation. -2 + 2 + 3e = -15 + 2 Combine like terms: -2 + 2 = 0 0 + 3e = -15 + 2 3e = -15 + 2 Combine like terms: -15 + 2 = -13 3e = -13 Divide each side by '3'. e = -4.333333333 Simplifying e = -4.333333333
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