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Simplifying 12 + -5k + -17 + -3k = 0 Reorder the terms: 12 + -17 + -5k + -3k = 0 Combine like terms: 12 + -17 = -5 -5 + -5k + -3k = 0 Combine like terms: -5k + -3k = -8k -5 + -8k = 0 Solving -5 + -8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8k = 0 + 5 -8k = 0 + 5 Combine like terms: 0 + 5 = 5 -8k = 5 Divide each side by '-8'. k = -0.625 Simplifying k = -0.625
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