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Simplifying -8(-1 + 6k) + -7 = 1 + -4k (-1 * -8 + 6k * -8) + -7 = 1 + -4k (8 + -48k) + -7 = 1 + -4k Reorder the terms: 8 + -7 + -48k = 1 + -4k Combine like terms: 8 + -7 = 1 1 + -48k = 1 + -4k Add '-1' to each side of the equation. 1 + -1 + -48k = 1 + -1 + -4k Combine like terms: 1 + -1 = 0 0 + -48k = 1 + -1 + -4k -48k = 1 + -1 + -4k Combine like terms: 1 + -1 = 0 -48k = 0 + -4k -48k = -4k Solving -48k = -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. -48k + 4k = -4k + 4k Combine like terms: -48k + 4k = -44k -44k = -4k + 4k Combine like terms: -4k + 4k = 0 -44k = 0 Divide each side by '-44'. k = 0 Simplifying k = 0
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