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Simplifying 54 = 6(5 + -4k) 54 = (5 * 6 + -4k * 6) 54 = (30 + -24k) Solving 54 = 30 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 54 + 24k = 30 + -24k + 24k Combine like terms: -24k + 24k = 0 54 + 24k = 30 + 0 54 + 24k = 30 Add '-54' to each side of the equation. 54 + -54 + 24k = 30 + -54 Combine like terms: 54 + -54 = 0 0 + 24k = 30 + -54 24k = 30 + -54 Combine like terms: 30 + -54 = -24 24k = -24 Divide each side by '24'. k = -1 Simplifying k = -1
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