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Simplifying -19 + -7k = 5(9k + -4) Reorder the terms: -19 + -7k = 5(-4 + 9k) -19 + -7k = (-4 * 5 + 9k * 5) -19 + -7k = (-20 + 45k) Solving -19 + -7k = -20 + 45k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45k' to each side of the equation. -19 + -7k + -45k = -20 + 45k + -45k Combine like terms: -7k + -45k = -52k -19 + -52k = -20 + 45k + -45k Combine like terms: 45k + -45k = 0 -19 + -52k = -20 + 0 -19 + -52k = -20 Add '19' to each side of the equation. -19 + 19 + -52k = -20 + 19 Combine like terms: -19 + 19 = 0 0 + -52k = -20 + 19 -52k = -20 + 19 Combine like terms: -20 + 19 = -1 -52k = -1 Divide each side by '-52'. k = 0.01923076923 Simplifying k = 0.01923076923
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