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Simplifying -8(8 + k) = 48 (8 * -8 + k * -8) = 48 (-64 + -8k) = 48 Solving -64 + -8k = 48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + -8k = 48 + 64 Combine like terms: -64 + 64 = 0 0 + -8k = 48 + 64 -8k = 48 + 64 Combine like terms: 48 + 64 = 112 -8k = 112 Divide each side by '-8'. k = -14 Simplifying k = -14
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