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Simplifying -2(3e + 1) + 3(2 + 4e) = -2e + 20 Reorder the terms: -2(1 + 3e) + 3(2 + 4e) = -2e + 20 (1 * -2 + 3e * -2) + 3(2 + 4e) = -2e + 20 (-2 + -6e) + 3(2 + 4e) = -2e + 20 -2 + -6e + (2 * 3 + 4e * 3) = -2e + 20 -2 + -6e + (6 + 12e) = -2e + 20 Reorder the terms: -2 + 6 + -6e + 12e = -2e + 20 Combine like terms: -2 + 6 = 4 4 + -6e + 12e = -2e + 20 Combine like terms: -6e + 12e = 6e 4 + 6e = -2e + 20 Reorder the terms: 4 + 6e = 20 + -2e Solving 4 + 6e = 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 + 6e + 2e = 20 + -2e + 2e Combine like terms: 6e + 2e = 8e 4 + 8e = 20 + -2e + 2e Combine like terms: -2e + 2e = 0 4 + 8e = 20 + 0 4 + 8e = 20 Add '-4' to each side of the equation. 4 + -4 + 8e = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 8e = 20 + -4 8e = 20 + -4 Combine like terms: 20 + -4 = 16 8e = 16 Divide each side by '8'. e = 2 Simplifying e = 2
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