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Simplifying k + -1(1 + k) * 4 = 0 Reorder the terms for easier multiplication: k + -1 * 4(1 + k) = 0 Multiply -1 * 4 k + -4(1 + k) = 0 k + (1 * -4 + k * -4) = 0 k + (-4 + -4k) = 0 Reorder the terms: -4 + k + -4k = 0 Combine like terms: k + -4k = -3k -4 + -3k = 0 Solving -4 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3k = 0 + 4 -3k = 0 + 4 Combine like terms: 0 + 4 = 4 -3k = 4 Divide each side by '-3'. k = -1.333333333 Simplifying k = -1.333333333
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