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Simplifying -19 = 8 + 7(k + -5) Reorder the terms: -19 = 8 + 7(-5 + k) -19 = 8 + (-5 * 7 + k * 7) -19 = 8 + (-35 + 7k) Combine like terms: 8 + -35 = -27 -19 = -27 + 7k Solving -19 = -27 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -19 + -7k = -27 + 7k + -7k Combine like terms: 7k + -7k = 0 -19 + -7k = -27 + 0 -19 + -7k = -27 Add '19' to each side of the equation. -19 + 19 + -7k = -27 + 19 Combine like terms: -19 + 19 = 0 0 + -7k = -27 + 19 -7k = -27 + 19 Combine like terms: -27 + 19 = -8 -7k = -8 Divide each side by '-7'. k = 1.142857143 Simplifying k = 1.142857143
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