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Simplifying 7(7k + -9) + 5k = 8k + 29 Reorder the terms: 7(-9 + 7k) + 5k = 8k + 29 (-9 * 7 + 7k * 7) + 5k = 8k + 29 (-63 + 49k) + 5k = 8k + 29 Combine like terms: 49k + 5k = 54k -63 + 54k = 8k + 29 Reorder the terms: -63 + 54k = 29 + 8k Solving -63 + 54k = 29 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -63 + 54k + -8k = 29 + 8k + -8k Combine like terms: 54k + -8k = 46k -63 + 46k = 29 + 8k + -8k Combine like terms: 8k + -8k = 0 -63 + 46k = 29 + 0 -63 + 46k = 29 Add '63' to each side of the equation. -63 + 63 + 46k = 29 + 63 Combine like terms: -63 + 63 = 0 0 + 46k = 29 + 63 46k = 29 + 63 Combine like terms: 29 + 63 = 92 46k = 92 Divide each side by '46'. k = 2 Simplifying k = 2
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