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Simplifying 8(e + -4) + -2(e + 7) = 0 Reorder the terms: 8(-4 + e) + -2(e + 7) = 0 (-4 * 8 + e * 8) + -2(e + 7) = 0 (-32 + 8e) + -2(e + 7) = 0 Reorder the terms: -32 + 8e + -2(7 + e) = 0 -32 + 8e + (7 * -2 + e * -2) = 0 -32 + 8e + (-14 + -2e) = 0 Reorder the terms: -32 + -14 + 8e + -2e = 0 Combine like terms: -32 + -14 = -46 -46 + 8e + -2e = 0 Combine like terms: 8e + -2e = 6e -46 + 6e = 0 Solving -46 + 6e = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 6e = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 6e = 0 + 46 6e = 0 + 46 Combine like terms: 0 + 46 = 46 6e = 46 Divide each side by '6'. e = 7.666666667 Simplifying e = 7.666666667
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