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Simplifying -38 + 8k = 6(-8k + 3) Reorder the terms: -38 + 8k = 6(3 + -8k) -38 + 8k = (3 * 6 + -8k * 6) -38 + 8k = (18 + -48k) Solving -38 + 8k = 18 + -48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48k' to each side of the equation. -38 + 8k + 48k = 18 + -48k + 48k Combine like terms: 8k + 48k = 56k -38 + 56k = 18 + -48k + 48k Combine like terms: -48k + 48k = 0 -38 + 56k = 18 + 0 -38 + 56k = 18 Add '38' to each side of the equation. -38 + 38 + 56k = 18 + 38 Combine like terms: -38 + 38 = 0 0 + 56k = 18 + 38 56k = 18 + 38 Combine like terms: 18 + 38 = 56 56k = 56 Divide each side by '56'. k = 1 Simplifying k = 1
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