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Simplifying 8(-1 + 2k) + 7 = 127 (-1 * 8 + 2k * 8) + 7 = 127 (-8 + 16k) + 7 = 127 Reorder the terms: -8 + 7 + 16k = 127 Combine like terms: -8 + 7 = -1 -1 + 16k = 127 Solving -1 + 16k = 127 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 16k = 127 + 1 Combine like terms: -1 + 1 = 0 0 + 16k = 127 + 1 16k = 127 + 1 Combine like terms: 127 + 1 = 128 16k = 128 Divide each side by '16'. k = 8 Simplifying k = 8
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