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Simplifying -7(k + -9k) = 9(k + -5) + -14k Combine like terms: k + -9k = -8k -7(-8k) = 9(k + -5) + -14k Remove parenthesis around (-8k) -7 * -8k = 9(k + -5) + -14k Multiply -7 * -8 56k = 9(k + -5) + -14k Reorder the terms: 56k = 9(-5 + k) + -14k 56k = (-5 * 9 + k * 9) + -14k 56k = (-45 + 9k) + -14k Combine like terms: 9k + -14k = -5k 56k = -45 + -5k Solving 56k = -45 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 56k + 5k = -45 + -5k + 5k Combine like terms: 56k + 5k = 61k 61k = -45 + -5k + 5k Combine like terms: -5k + 5k = 0 61k = -45 + 0 61k = -45 Divide each side by '61'. k = -0.737704918 Simplifying k = -0.737704918
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