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Simplifying -54 + -6k = -9 + q + -13 Reorder the terms: -54 + -6k = -9 + -13 + q Combine like terms: -9 + -13 = -22 -54 + -6k = -22 + q Solving -54 + -6k = -22 + q Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -6k = -22 + 54 + q Combine like terms: -54 + 54 = 0 0 + -6k = -22 + 54 + q -6k = -22 + 54 + q Combine like terms: -22 + 54 = 32 -6k = 32 + q Divide each side by '-6'. k = -5.333333333 + -0.1666666667q Simplifying k = -5.333333333 + -0.1666666667q
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