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Simplifying -8(2k + -6) = 38 + -6k Reorder the terms: -8(-6 + 2k) = 38 + -6k (-6 * -8 + 2k * -8) = 38 + -6k (48 + -16k) = 38 + -6k Solving 48 + -16k = 38 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 48 + -16k + 6k = 38 + -6k + 6k Combine like terms: -16k + 6k = -10k 48 + -10k = 38 + -6k + 6k Combine like terms: -6k + 6k = 0 48 + -10k = 38 + 0 48 + -10k = 38 Add '-48' to each side of the equation. 48 + -48 + -10k = 38 + -48 Combine like terms: 48 + -48 = 0 0 + -10k = 38 + -48 -10k = 38 + -48 Combine like terms: 38 + -48 = -10 -10k = -10 Divide each side by '-10'. k = 1 Simplifying k = 1
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