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Simplifying 9(7k + -1) = 12k + 5(11 + 7k) Reorder the terms: 9(-1 + 7k) = 12k + 5(11 + 7k) (-1 * 9 + 7k * 9) = 12k + 5(11 + 7k) (-9 + 63k) = 12k + 5(11 + 7k) -9 + 63k = 12k + (11 * 5 + 7k * 5) -9 + 63k = 12k + (55 + 35k) Reorder the terms: -9 + 63k = 55 + 12k + 35k Combine like terms: 12k + 35k = 47k -9 + 63k = 55 + 47k Solving -9 + 63k = 55 + 47k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-47k' to each side of the equation. -9 + 63k + -47k = 55 + 47k + -47k Combine like terms: 63k + -47k = 16k -9 + 16k = 55 + 47k + -47k Combine like terms: 47k + -47k = 0 -9 + 16k = 55 + 0 -9 + 16k = 55 Add '9' to each side of the equation. -9 + 9 + 16k = 55 + 9 Combine like terms: -9 + 9 = 0 0 + 16k = 55 + 9 16k = 55 + 9 Combine like terms: 55 + 9 = 64 16k = 64 Divide each side by '16'. k = 4 Simplifying k = 4
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