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Simplifying 1 + 8(2k + 1) = 137 Reorder the terms: 1 + 8(1 + 2k) = 137 1 + (1 * 8 + 2k * 8) = 137 1 + (8 + 16k) = 137 Combine like terms: 1 + 8 = 9 9 + 16k = 137 Solving 9 + 16k = 137 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 16k = 137 + -9 Combine like terms: 9 + -9 = 0 0 + 16k = 137 + -9 16k = 137 + -9 Combine like terms: 137 + -9 = 128 16k = 128 Divide each side by '16'. k = 8 Simplifying k = 8
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