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Simplifying 6 + 4(-7k + 8) = 38 + 2k Reorder the terms: 6 + 4(8 + -7k) = 38 + 2k 6 + (8 * 4 + -7k * 4) = 38 + 2k 6 + (32 + -28k) = 38 + 2k Combine like terms: 6 + 32 = 38 38 + -28k = 38 + 2k Add '-38' to each side of the equation. 38 + -38 + -28k = 38 + -38 + 2k Combine like terms: 38 + -38 = 0 0 + -28k = 38 + -38 + 2k -28k = 38 + -38 + 2k Combine like terms: 38 + -38 = 0 -28k = 0 + 2k -28k = 2k Solving -28k = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -28k + -2k = 2k + -2k Combine like terms: -28k + -2k = -30k -30k = 2k + -2k Combine like terms: 2k + -2k = 0 -30k = 0 Divide each side by '-30'. k = 0.0 Simplifying k = 0.0
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