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Simplifying 2 + -8(7 + 2k) = 0 2 + (7 * -8 + 2k * -8) = 0 2 + (-56 + -16k) = 0 Combine like terms: 2 + -56 = -54 -54 + -16k = 0 Solving -54 + -16k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -16k = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -16k = 0 + 54 -16k = 0 + 54 Combine like terms: 0 + 54 = 54 -16k = 54 Divide each side by '-16'. k = -3.375 Simplifying k = -3.375
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