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Simplifying -38 + -7k = 4(-8k + 3) Reorder the terms: -38 + -7k = 4(3 + -8k) -38 + -7k = (3 * 4 + -8k * 4) -38 + -7k = (12 + -32k) Solving -38 + -7k = 12 + -32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32k' to each side of the equation. -38 + -7k + 32k = 12 + -32k + 32k Combine like terms: -7k + 32k = 25k -38 + 25k = 12 + -32k + 32k Combine like terms: -32k + 32k = 0 -38 + 25k = 12 + 0 -38 + 25k = 12 Add '38' to each side of the equation. -38 + 38 + 25k = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 25k = 12 + 38 25k = 12 + 38 Combine like terms: 12 + 38 = 50 25k = 50 Divide each side by '25'. k = 2 Simplifying k = 2
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