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Simplifying 10k + -1(2k + -6) + -1(2k + -3) = -4 Reorder the terms: 10k + -1(-6 + 2k) + -1(2k + -3) = -4 10k + (-6 * -1 + 2k * -1) + -1(2k + -3) = -4 10k + (6 + -2k) + -1(2k + -3) = -4 Reorder the terms: 10k + 6 + -2k + -1(-3 + 2k) = -4 10k + 6 + -2k + (-3 * -1 + 2k * -1) = -4 10k + 6 + -2k + (3 + -2k) = -4 Reorder the terms: 6 + 3 + 10k + -2k + -2k = -4 Combine like terms: 6 + 3 = 9 9 + 10k + -2k + -2k = -4 Combine like terms: 10k + -2k = 8k 9 + 8k + -2k = -4 Combine like terms: 8k + -2k = 6k 9 + 6k = -4 Solving 9 + 6k = -4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6k = -4 + -9 Combine like terms: 9 + -9 = 0 0 + 6k = -4 + -9 6k = -4 + -9 Combine like terms: -4 + -9 = -13 6k = -13 Divide each side by '6'. k = -2.166666667 Simplifying k = -2.166666667
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