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Simplifying 1(k + 8) + -16(2) = 54 Reorder the terms: 1(8 + k) + -16(2) = 54 (8 * 1 + k * 1) + -16(2) = 54 (8 + 1k) + -16(2) = 54 Multiply -16 * 2 8 + 1k + -32 = 54 Reorder the terms: 8 + -32 + 1k = 54 Combine like terms: 8 + -32 = -24 -24 + 1k = 54 Solving -24 + 1k = 54 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 1k = 54 + 24 Combine like terms: -24 + 24 = 0 0 + 1k = 54 + 24 1k = 54 + 24 Combine like terms: 54 + 24 = 78 1k = 78 Divide each side by '1'. k = 78 Simplifying k = 78
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