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Simplifying 5(6k + -5) + 4 = 12 + -3k Reorder the terms: 5(-5 + 6k) + 4 = 12 + -3k (-5 * 5 + 6k * 5) + 4 = 12 + -3k (-25 + 30k) + 4 = 12 + -3k Reorder the terms: -25 + 4 + 30k = 12 + -3k Combine like terms: -25 + 4 = -21 -21 + 30k = 12 + -3k Solving -21 + 30k = 12 + -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. -21 + 30k + 3k = 12 + -3k + 3k Combine like terms: 30k + 3k = 33k -21 + 33k = 12 + -3k + 3k Combine like terms: -3k + 3k = 0 -21 + 33k = 12 + 0 -21 + 33k = 12 Add '21' to each side of the equation. -21 + 21 + 33k = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 33k = 12 + 21 33k = 12 + 21 Combine like terms: 12 + 21 = 33 33k = 33 Divide each side by '33'. k = 1 Simplifying k = 1
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