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Simplifying -7(k + 9) = (k + -5) + -14k Reorder the terms: -7(9 + k) = (k + -5) + -14k (9 * -7 + k * -7) = (k + -5) + -14k (-63 + -7k) = (k + -5) + -14k Reorder the terms: -63 + -7k = (-5 + k) + -14k Remove parenthesis around (-5 + k) -63 + -7k = -5 + k + -14k Combine like terms: k + -14k = -13k -63 + -7k = -5 + -13k Solving -63 + -7k = -5 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. -63 + -7k + 13k = -5 + -13k + 13k Combine like terms: -7k + 13k = 6k -63 + 6k = -5 + -13k + 13k Combine like terms: -13k + 13k = 0 -63 + 6k = -5 + 0 -63 + 6k = -5 Add '63' to each side of the equation. -63 + 63 + 6k = -5 + 63 Combine like terms: -63 + 63 = 0 0 + 6k = -5 + 63 6k = -5 + 63 Combine like terms: -5 + 63 = 58 6k = 58 Divide each side by '6'. k = 9.666666667 Simplifying k = 9.666666667
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