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Simplifying -15.55 + -11.1k = -8.3k + 9.69 + -17.68 Reorder the terms: -15.55 + -11.1k = 9.69 + -17.68 + -8.3k Combine like terms: 9.69 + -17.68 = -7.99 -15.55 + -11.1k = -7.99 + -8.3k Solving -15.55 + -11.1k = -7.99 + -8.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8.3k' to each side of the equation. -15.55 + -11.1k + 8.3k = -7.99 + -8.3k + 8.3k Combine like terms: -11.1k + 8.3k = -2.8k -15.55 + -2.8k = -7.99 + -8.3k + 8.3k Combine like terms: -8.3k + 8.3k = 0.0 -15.55 + -2.8k = -7.99 + 0.0 -15.55 + -2.8k = -7.99 Add '15.55' to each side of the equation. -15.55 + 15.55 + -2.8k = -7.99 + 15.55 Combine like terms: -15.55 + 15.55 = 0.00 0.00 + -2.8k = -7.99 + 15.55 -2.8k = -7.99 + 15.55 Combine like terms: -7.99 + 15.55 = 7.56 -2.8k = 7.56 Divide each side by '-2.8'. k = -2.7 Simplifying k = -2.7
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