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Simplifying 4e + -1(3e + -4) = 6e + -1(3 + -8e) + (-2e + 29) Reorder the terms: 4e + -1(-4 + 3e) = 6e + -1(3 + -8e) + (-2e + 29) 4e + (-4 * -1 + 3e * -1) = 6e + -1(3 + -8e) + (-2e + 29) 4e + (4 + -3e) = 6e + -1(3 + -8e) + (-2e + 29) Reorder the terms: 4 + 4e + -3e = 6e + -1(3 + -8e) + (-2e + 29) Combine like terms: 4e + -3e = 1e 4 + 1e = 6e + -1(3 + -8e) + (-2e + 29) 4 + 1e = 6e + (3 * -1 + -8e * -1) + (-2e + 29) 4 + 1e = 6e + (-3 + 8e) + (-2e + 29) Reorder the terms: 4 + 1e = 6e + -3 + 8e + (29 + -2e) Remove parenthesis around (29 + -2e) 4 + 1e = 6e + -3 + 8e + 29 + -2e Reorder the terms: 4 + 1e = -3 + 29 + 6e + 8e + -2e Combine like terms: -3 + 29 = 26 4 + 1e = 26 + 6e + 8e + -2e Combine like terms: 6e + 8e = 14e 4 + 1e = 26 + 14e + -2e Combine like terms: 14e + -2e = 12e 4 + 1e = 26 + 12e Solving 4 + 1e = 26 + 12e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12e' to each side of the equation. 4 + 1e + -12e = 26 + 12e + -12e Combine like terms: 1e + -12e = -11e 4 + -11e = 26 + 12e + -12e Combine like terms: 12e + -12e = 0 4 + -11e = 26 + 0 4 + -11e = 26 Add '-4' to each side of the equation. 4 + -4 + -11e = 26 + -4 Combine like terms: 4 + -4 = 0 0 + -11e = 26 + -4 -11e = 26 + -4 Combine like terms: 26 + -4 = 22 -11e = 22 Divide each side by '-11'. e = -2 Simplifying e = -2
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