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Simplifying -91 = 2 + -3(4k + -1) Reorder the terms: -91 = 2 + -3(-1 + 4k) -91 = 2 + (-1 * -3 + 4k * -3) -91 = 2 + (3 + -12k) Combine like terms: 2 + 3 = 5 -91 = 5 + -12k Solving -91 = 5 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -91 + 12k = 5 + -12k + 12k Combine like terms: -12k + 12k = 0 -91 + 12k = 5 + 0 -91 + 12k = 5 Add '91' to each side of the equation. -91 + 91 + 12k = 5 + 91 Combine like terms: -91 + 91 = 0 0 + 12k = 5 + 91 12k = 5 + 91 Combine like terms: 5 + 91 = 96 12k = 96 Divide each side by '12'. k = 8 Simplifying k = 8
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