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Simplifying -3 + -7(1 + -8k) = 19 -3 + (1 * -7 + -8k * -7) = 19 -3 + (-7 + 56k) = 19 Combine like terms: -3 + -7 = -10 -10 + 56k = 19 Solving -10 + 56k = 19 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 56k = 19 + 10 Combine like terms: -10 + 10 = 0 0 + 56k = 19 + 10 56k = 19 + 10 Combine like terms: 19 + 10 = 29 56k = 29 Divide each side by '56'. k = 0.5178571429 Simplifying k = 0.5178571429
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