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Simplifying 6 + -7(1 + 8k) = -21 6 + (1 * -7 + 8k * -7) = -21 6 + (-7 + -56k) = -21 Combine like terms: 6 + -7 = -1 -1 + -56k = -21 Solving -1 + -56k = -21 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 + -56k = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -56k = -21 + 1 -56k = -21 + 1 Combine like terms: -21 + 1 = -20 -56k = -20 Divide each side by '-56'. k = 0.3571428571 Simplifying k = 0.3571428571
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