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Simplifying 7(e + 3) + -4e = 4(e + 6) + 1 Reorder the terms: 7(3 + e) + -4e = 4(e + 6) + 1 (3 * 7 + e * 7) + -4e = 4(e + 6) + 1 (21 + 7e) + -4e = 4(e + 6) + 1 Combine like terms: 7e + -4e = 3e 21 + 3e = 4(e + 6) + 1 Reorder the terms: 21 + 3e = 4(6 + e) + 1 21 + 3e = (6 * 4 + e * 4) + 1 21 + 3e = (24 + 4e) + 1 Reorder the terms: 21 + 3e = 24 + 1 + 4e Combine like terms: 24 + 1 = 25 21 + 3e = 25 + 4e Solving 21 + 3e = 25 + 4e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4e' to each side of the equation. 21 + 3e + -4e = 25 + 4e + -4e Combine like terms: 3e + -4e = -1e 21 + -1e = 25 + 4e + -4e Combine like terms: 4e + -4e = 0 21 + -1e = 25 + 0 21 + -1e = 25 Add '-21' to each side of the equation. 21 + -21 + -1e = 25 + -21 Combine like terms: 21 + -21 = 0 0 + -1e = 25 + -21 -1e = 25 + -21 Combine like terms: 25 + -21 = 4 -1e = 4 Divide each side by '-1'. e = -4 Simplifying e = -4
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