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Simplifying -6 + 5(1 + -9k) = 19 -6 + (1 * 5 + -9k * 5) = 19 -6 + (5 + -45k) = 19 Combine like terms: -6 + 5 = -1 -1 + -45k = 19 Solving -1 + -45k = 19 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 + -45k = 19 + 1 Combine like terms: -1 + 1 = 0 0 + -45k = 19 + 1 -45k = 19 + 1 Combine like terms: 19 + 1 = 20 -45k = 20 Divide each side by '-45'. k = -0.4444444444 Simplifying k = -0.4444444444
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