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Simplifying -6(1 + 8k) = -4k + 38 (1 * -6 + 8k * -6) = -4k + 38 (-6 + -48k) = -4k + 38 Reorder the terms: -6 + -48k = 38 + -4k Solving -6 + -48k = 38 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -6 + -48k + 4k = 38 + -4k + 4k Combine like terms: -48k + 4k = -44k -6 + -44k = 38 + -4k + 4k Combine like terms: -4k + 4k = 0 -6 + -44k = 38 + 0 -6 + -44k = 38 Add '6' to each side of the equation. -6 + 6 + -44k = 38 + 6 Combine like terms: -6 + 6 = 0 0 + -44k = 38 + 6 -44k = 38 + 6 Combine like terms: 38 + 6 = 44 -44k = 44 Divide each side by '-44'. k = -1 Simplifying k = -1
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