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Simplifying 4(2e + -1) = 2(e + 10) Reorder the terms: 4(-1 + 2e) = 2(e + 10) (-1 * 4 + 2e * 4) = 2(e + 10) (-4 + 8e) = 2(e + 10) Reorder the terms: -4 + 8e = 2(10 + e) -4 + 8e = (10 * 2 + e * 2) -4 + 8e = (20 + 2e) Solving -4 + 8e = 20 + 2e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-2e' to each side of the equation. -4 + 8e + -2e = 20 + 2e + -2e Combine like terms: 8e + -2e = 6e -4 + 6e = 20 + 2e + -2e Combine like terms: 2e + -2e = 0 -4 + 6e = 20 + 0 -4 + 6e = 20 Add '4' to each side of the equation. -4 + 4 + 6e = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 6e = 20 + 4 6e = 20 + 4 Combine like terms: 20 + 4 = 24 6e = 24 Divide each side by '6'. e = 4 Simplifying e = 4
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