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Simplifying -9 + 7k = 7(6k + 3) + 5 Reorder the terms: -9 + 7k = 7(3 + 6k) + 5 -9 + 7k = (3 * 7 + 6k * 7) + 5 -9 + 7k = (21 + 42k) + 5 Reorder the terms: -9 + 7k = 21 + 5 + 42k Combine like terms: 21 + 5 = 26 -9 + 7k = 26 + 42k Solving -9 + 7k = 26 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. -9 + 7k + -42k = 26 + 42k + -42k Combine like terms: 7k + -42k = -35k -9 + -35k = 26 + 42k + -42k Combine like terms: 42k + -42k = 0 -9 + -35k = 26 + 0 -9 + -35k = 26 Add '9' to each side of the equation. -9 + 9 + -35k = 26 + 9 Combine like terms: -9 + 9 = 0 0 + -35k = 26 + 9 -35k = 26 + 9 Combine like terms: 26 + 9 = 35 -35k = 35 Divide each side by '-35'. k = -1 Simplifying k = -1
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