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Simplifying (k + -1) = 7(k + -9) Reorder the terms: (-1 + k) = 7(k + -9) Remove parenthesis around (-1 + k) -1 + k = 7(k + -9) Reorder the terms: -1 + k = 7(-9 + k) -1 + k = (-9 * 7 + k * 7) -1 + k = (-63 + 7k) Solving -1 + k = -63 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -1 + k + -7k = -63 + 7k + -7k Combine like terms: k + -7k = -6k -1 + -6k = -63 + 7k + -7k Combine like terms: 7k + -7k = 0 -1 + -6k = -63 + 0 -1 + -6k = -63 Add '1' to each side of the equation. -1 + 1 + -6k = -63 + 1 Combine like terms: -1 + 1 = 0 0 + -6k = -63 + 1 -6k = -63 + 1 Combine like terms: -63 + 1 = -62 -6k = -62 Divide each side by '-6'. k = 10.33333333 Simplifying k = 10.33333333
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