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Simplifying 6(8 + -8k) = 3 + -3k (8 * 6 + -8k * 6) = 3 + -3k (48 + -48k) = 3 + -3k Solving 48 + -48k = 3 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 48 + -48k + 3k = 3 + -3k + 3k Combine like terms: -48k + 3k = -45k 48 + -45k = 3 + -3k + 3k Combine like terms: -3k + 3k = 0 48 + -45k = 3 + 0 48 + -45k = 3 Add '-48' to each side of the equation. 48 + -48 + -45k = 3 + -48 Combine like terms: 48 + -48 = 0 0 + -45k = 3 + -48 -45k = 3 + -48 Combine like terms: 3 + -48 = -45 -45k = -45 Divide each side by '-45'. k = 1 Simplifying k = 1
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