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Simplifying 2 = 4(3k + -8) + -111k Reorder the terms: 2 = 4(-8 + 3k) + -111k 2 = (-8 * 4 + 3k * 4) + -111k 2 = (-32 + 12k) + -111k Combine like terms: 12k + -111k = -99k 2 = -32 + -99k Solving 2 = -32 + -99k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '99k' to each side of the equation. 2 + 99k = -32 + -99k + 99k Combine like terms: -99k + 99k = 0 2 + 99k = -32 + 0 2 + 99k = -32 Add '-2' to each side of the equation. 2 + -2 + 99k = -32 + -2 Combine like terms: 2 + -2 = 0 0 + 99k = -32 + -2 99k = -32 + -2 Combine like terms: -32 + -2 = -34 99k = -34 Divide each side by '99'. k = -0.3434343434 Simplifying k = -0.3434343434
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