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Simplifying 5 + 2(1 + -8k) = -105 5 + (1 * 2 + -8k * 2) = -105 5 + (2 + -16k) = -105 Combine like terms: 5 + 2 = 7 7 + -16k = -105 Solving 7 + -16k = -105 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -16k = -105 + -7 Combine like terms: 7 + -7 = 0 0 + -16k = -105 + -7 -16k = -105 + -7 Combine like terms: -105 + -7 = -112 -16k = -112 Divide each side by '-16'. k = 7 Simplifying k = 7
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