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