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Simplifying 3E + 4(E + 6) = 40 + -1E Reorder the terms: 3E + 4(6 + E) = 40 + -1E 3E + (6 * 4 + E * 4) = 40 + -1E 3E + (24 + 4E) = 40 + -1E Reorder the terms: 24 + 3E + 4E = 40 + -1E Combine like terms: 3E + 4E = 7E 24 + 7E = 40 + -1E Solving 24 + 7E = 40 + -1E Solving for variable 'E'. Move all terms containing E to the left, all other terms to the right. Add 'E' to each side of the equation. 24 + 7E + E = 40 + -1E + E Combine like terms: 7E + E = 8E 24 + 8E = 40 + -1E + E Combine like terms: -1E + E = 0 24 + 8E = 40 + 0 24 + 8E = 40 Add '-24' to each side of the equation. 24 + -24 + 8E = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 8E = 40 + -24 8E = 40 + -24 Combine like terms: 40 + -24 = 16 8E = 16 Divide each side by '8'. E = 2 Simplifying E = 2
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