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Simplifying -6(3k + 9) = k + 4(1 + -12k) Reorder the terms: -6(9 + 3k) = k + 4(1 + -12k) (9 * -6 + 3k * -6) = k + 4(1 + -12k) (-54 + -18k) = k + 4(1 + -12k) -54 + -18k = k + (1 * 4 + -12k * 4) -54 + -18k = k + (4 + -48k) Reorder the terms: -54 + -18k = 4 + k + -48k Combine like terms: k + -48k = -47k -54 + -18k = 4 + -47k Solving -54 + -18k = 4 + -47k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '47k' to each side of the equation. -54 + -18k + 47k = 4 + -47k + 47k Combine like terms: -18k + 47k = 29k -54 + 29k = 4 + -47k + 47k Combine like terms: -47k + 47k = 0 -54 + 29k = 4 + 0 -54 + 29k = 4 Add '54' to each side of the equation. -54 + 54 + 29k = 4 + 54 Combine like terms: -54 + 54 = 0 0 + 29k = 4 + 54 29k = 4 + 54 Combine like terms: 4 + 54 = 58 29k = 58 Divide each side by '29'. k = 2 Simplifying k = 2
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