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Simplifying -1(6k + -2) + -1(-5k + 8) = -3 Reorder the terms: -1(-2 + 6k) + -1(-5k + 8) = -3 (-2 * -1 + 6k * -1) + -1(-5k + 8) = -3 (2 + -6k) + -1(-5k + 8) = -3 Reorder the terms: 2 + -6k + -1(8 + -5k) = -3 2 + -6k + (8 * -1 + -5k * -1) = -3 2 + -6k + (-8 + 5k) = -3 Reorder the terms: 2 + -8 + -6k + 5k = -3 Combine like terms: 2 + -8 = -6 -6 + -6k + 5k = -3 Combine like terms: -6k + 5k = -1k -6 + -1k = -3 Solving -6 + -1k = -3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1k = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -1k = -3 + 6 -1k = -3 + 6 Combine like terms: -3 + 6 = 3 -1k = 3 Divide each side by '-1'. k = -3 Simplifying k = -3
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