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Simplifying -7(I + 9) = 9(k + -5) + -14k Reorder the terms: -7(9 + I) = 9(k + -5) + -14k (9 * -7 + I * -7) = 9(k + -5) + -14k (-63 + -7I) = 9(k + -5) + -14k Reorder the terms: -63 + -7I = 9(-5 + k) + -14k -63 + -7I = (-5 * 9 + k * 9) + -14k -63 + -7I = (-45 + 9k) + -14k Combine like terms: 9k + -14k = -5k -63 + -7I = -45 + -5k Solving -63 + -7I = -45 + -5k Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -7I = -45 + 63 + -5k Combine like terms: -63 + 63 = 0 0 + -7I = -45 + 63 + -5k -7I = -45 + 63 + -5k Combine like terms: -45 + 63 = 18 -7I = 18 + -5k Divide each side by '-7'. I = -2.571428571 + 0.7142857143k Simplifying I = -2.571428571 + 0.7142857143k
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