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