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Simplifying 7(2e + -3) + -1(8e + -9) = 0 Reorder the terms: 7(-3 + 2e) + -1(8e + -9) = 0 (-3 * 7 + 2e * 7) + -1(8e + -9) = 0 (-21 + 14e) + -1(8e + -9) = 0 Reorder the terms: -21 + 14e + -1(-9 + 8e) = 0 -21 + 14e + (-9 * -1 + 8e * -1) = 0 -21 + 14e + (9 + -8e) = 0 Reorder the terms: -21 + 9 + 14e + -8e = 0 Combine like terms: -21 + 9 = -12 -12 + 14e + -8e = 0 Combine like terms: 14e + -8e = 6e -12 + 6e = 0 Solving -12 + 6e = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6e = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6e = 0 + 12 6e = 0 + 12 Combine like terms: 0 + 12 = 12 6e = 12 Divide each side by '6'. e = 2 Simplifying e = 2
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