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Simplifying 8(-2k + 6) + 4k = 38 + -7k Reorder the terms: 8(6 + -2k) + 4k = 38 + -7k (6 * 8 + -2k * 8) + 4k = 38 + -7k (48 + -16k) + 4k = 38 + -7k Combine like terms: -16k + 4k = -12k 48 + -12k = 38 + -7k Solving 48 + -12k = 38 + -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. 48 + -12k + 7k = 38 + -7k + 7k Combine like terms: -12k + 7k = -5k 48 + -5k = 38 + -7k + 7k Combine like terms: -7k + 7k = 0 48 + -5k = 38 + 0 48 + -5k = 38 Add '-48' to each side of the equation. 48 + -48 + -5k = 38 + -48 Combine like terms: 48 + -48 = 0 0 + -5k = 38 + -48 -5k = 38 + -48 Combine like terms: 38 + -48 = -10 -5k = -10 Divide each side by '-5'. k = 2 Simplifying k = 2
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