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Simplifying 5[2k + 2] = 90 Reorder the terms: 5[2 + 2k] = 90 [2 * 5 + 2k * 5] = 90 [10 + 10k] = 90 Solving 10 + 10k = 90 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 10k = 90 + -10 Combine like terms: 10 + -10 = 0 0 + 10k = 90 + -10 10k = 90 + -10 Combine like terms: 90 + -10 = 80 10k = 80 Divide each side by '10'. k = 8 Simplifying k = 8
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