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Simplifying -1 + 4(3k + -1) = 55 Reorder the terms: -1 + 4(-1 + 3k) = 55 -1 + (-1 * 4 + 3k * 4) = 55 -1 + (-4 + 12k) = 55 Combine like terms: -1 + -4 = -5 -5 + 12k = 55 Solving -5 + 12k = 55 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12k = 55 + 5 Combine like terms: -5 + 5 = 0 0 + 12k = 55 + 5 12k = 55 + 5 Combine like terms: 55 + 5 = 60 12k = 60 Divide each side by '12'. k = 5 Simplifying k = 5
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