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Simplifying 5e + 13 + e = 3(4e + -2) + -1e + 1 Reorder the terms: 13 + 5e + e = 3(4e + -2) + -1e + 1 Combine like terms: 5e + e = 6e 13 + 6e = 3(4e + -2) + -1e + 1 Reorder the terms: 13 + 6e = 3(-2 + 4e) + -1e + 1 13 + 6e = (-2 * 3 + 4e * 3) + -1e + 1 13 + 6e = (-6 + 12e) + -1e + 1 Reorder the terms: 13 + 6e = -6 + 1 + 12e + -1e Combine like terms: -6 + 1 = -5 13 + 6e = -5 + 12e + -1e Combine like terms: 12e + -1e = 11e 13 + 6e = -5 + 11e Solving 13 + 6e = -5 + 11e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-11e' to each side of the equation. 13 + 6e + -11e = -5 + 11e + -11e Combine like terms: 6e + -11e = -5e 13 + -5e = -5 + 11e + -11e Combine like terms: 11e + -11e = 0 13 + -5e = -5 + 0 13 + -5e = -5 Add '-13' to each side of the equation. 13 + -13 + -5e = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -5e = -5 + -13 -5e = -5 + -13 Combine like terms: -5 + -13 = -18 -5e = -18 Divide each side by '-5'. e = 3.6 Simplifying e = 3.6
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