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Simplifying 10k + -1[2k + (-4 + 3k)] = 0 Remove parenthesis around (-4 + 3k) 10k + -1[2k + -4 + 3k] = 0 Reorder the terms: 10k + -1[-4 + 2k + 3k] = 0 Combine like terms: 2k + 3k = 5k 10k + -1[-4 + 5k] = 0 10k + [-4 * -1 + 5k * -1] = 0 10k + [4 + -5k] = 0 Reorder the terms: 4 + 10k + -5k = 0 Combine like terms: 10k + -5k = 5k 4 + 5k = 0 Solving 4 + 5k = 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 + 5k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5k = 0 + -4 5k = 0 + -4 Combine like terms: 0 + -4 = -4 5k = -4 Divide each side by '5'. k = -0.8 Simplifying k = -0.8
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