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Simplifying -6 = -3(k + -2) + -5k Reorder the terms: -6 = -3(-2 + k) + -5k -6 = (-2 * -3 + k * -3) + -5k -6 = (6 + -3k) + -5k Combine like terms: -3k + -5k = -8k -6 = 6 + -8k Solving -6 = 6 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -6 + 8k = 6 + -8k + 8k Combine like terms: -8k + 8k = 0 -6 + 8k = 6 + 0 -6 + 8k = 6 Add '6' to each side of the equation. -6 + 6 + 8k = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 8k = 6 + 6 8k = 6 + 6 Combine like terms: 6 + 6 = 12 8k = 12 Divide each side by '8'. k = 1.5 Simplifying k = 1.5
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