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Simplifying 7(E + 2) + 4(2E + -3) = 17 Reorder the terms: 7(2 + E) + 4(2E + -3) = 17 (2 * 7 + E * 7) + 4(2E + -3) = 17 (14 + 7E) + 4(2E + -3) = 17 Reorder the terms: 14 + 7E + 4(-3 + 2E) = 17 14 + 7E + (-3 * 4 + 2E * 4) = 17 14 + 7E + (-12 + 8E) = 17 Reorder the terms: 14 + -12 + 7E + 8E = 17 Combine like terms: 14 + -12 = 2 2 + 7E + 8E = 17 Combine like terms: 7E + 8E = 15E 2 + 15E = 17 Solving 2 + 15E = 17 Solving for variable 'E'. Move all terms containing E to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 15E = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 15E = 17 + -2 15E = 17 + -2 Combine like terms: 17 + -2 = 15 15E = 15 Divide each side by '15'. E = 1 Simplifying E = 1
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