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Simplifying 10k + -1(2k + -8) + -1(2k + -3) = -4 Reorder the terms: 10k + -1(-8 + 2k) + -1(2k + -3) = -4 10k + (-8 * -1 + 2k * -1) + -1(2k + -3) = -4 10k + (8 + -2k) + -1(2k + -3) = -4 Reorder the terms: 10k + 8 + -2k + -1(-3 + 2k) = -4 10k + 8 + -2k + (-3 * -1 + 2k * -1) = -4 10k + 8 + -2k + (3 + -2k) = -4 Reorder the terms: 8 + 3 + 10k + -2k + -2k = -4 Combine like terms: 8 + 3 = 11 11 + 10k + -2k + -2k = -4 Combine like terms: 10k + -2k = 8k 11 + 8k + -2k = -4 Combine like terms: 8k + -2k = 6k 11 + 6k = -4 Solving 11 + 6k = -4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6k = -4 + -11 Combine like terms: 11 + -11 = 0 0 + 6k = -4 + -11 6k = -4 + -11 Combine like terms: -4 + -11 = -15 6k = -15 Divide each side by '6'. k = -2.5 Simplifying k = -2.5
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