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Simplifying 10k + -40 + 8k + -23 = 0 Reorder the terms: -40 + -23 + 10k + 8k = 0 Combine like terms: -40 + -23 = -63 -63 + 10k + 8k = 0 Combine like terms: 10k + 8k = 18k -63 + 18k = 0 Solving -63 + 18k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 18k = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 18k = 0 + 63 18k = 0 + 63 Combine like terms: 0 + 63 = 63 18k = 63 Divide each side by '18'. k = 3.5 Simplifying k = 3.5
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