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Simplifying 5(8 + 8k) + -6k = 176 (8 * 5 + 8k * 5) + -6k = 176 (40 + 40k) + -6k = 176 Combine like terms: 40k + -6k = 34k 40 + 34k = 176 Solving 40 + 34k = 176 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 34k = 176 + -40 Combine like terms: 40 + -40 = 0 0 + 34k = 176 + -40 34k = 176 + -40 Combine like terms: 176 + -40 = 136 34k = 136 Divide each side by '34'. k = 4 Simplifying k = 4
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