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Simplifying -6(2k + 7) + 5 = 19 + -5k Reorder the terms: -6(7 + 2k) + 5 = 19 + -5k (7 * -6 + 2k * -6) + 5 = 19 + -5k (-42 + -12k) + 5 = 19 + -5k Reorder the terms: -42 + 5 + -12k = 19 + -5k Combine like terms: -42 + 5 = -37 -37 + -12k = 19 + -5k Solving -37 + -12k = 19 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -37 + -12k + 5k = 19 + -5k + 5k Combine like terms: -12k + 5k = -7k -37 + -7k = 19 + -5k + 5k Combine like terms: -5k + 5k = 0 -37 + -7k = 19 + 0 -37 + -7k = 19 Add '37' to each side of the equation. -37 + 37 + -7k = 19 + 37 Combine like terms: -37 + 37 = 0 0 + -7k = 19 + 37 -7k = 19 + 37 Combine like terms: 19 + 37 = 56 -7k = 56 Divide each side by '-7'. k = -8 Simplifying k = -8
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