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Simplifying 54 = 6(6k + -4) + -3(k + -4) Reorder the terms: 54 = 6(-4 + 6k) + -3(k + -4) 54 = (-4 * 6 + 6k * 6) + -3(k + -4) 54 = (-24 + 36k) + -3(k + -4) Reorder the terms: 54 = -24 + 36k + -3(-4 + k) 54 = -24 + 36k + (-4 * -3 + k * -3) 54 = -24 + 36k + (12 + -3k) Reorder the terms: 54 = -24 + 12 + 36k + -3k Combine like terms: -24 + 12 = -12 54 = -12 + 36k + -3k Combine like terms: 36k + -3k = 33k 54 = -12 + 33k Solving 54 = -12 + 33k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-33k' to each side of the equation. 54 + -33k = -12 + 33k + -33k Combine like terms: 33k + -33k = 0 54 + -33k = -12 + 0 54 + -33k = -12 Add '-54' to each side of the equation. 54 + -54 + -33k = -12 + -54 Combine like terms: 54 + -54 = 0 0 + -33k = -12 + -54 -33k = -12 + -54 Combine like terms: -12 + -54 = -66 -33k = -66 Divide each side by '-33'. k = 2 Simplifying k = 2
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