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Simplifying 11.2k + -16.3k + 10 = -7.2k + -11 Reorder the terms: 10 + 11.2k + -16.3k = -7.2k + -11 Combine like terms: 11.2k + -16.3k = -5.1k 10 + -5.1k = -7.2k + -11 Reorder the terms: 10 + -5.1k = -11 + -7.2k Solving 10 + -5.1k = -11 + -7.2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7.2k' to each side of the equation. 10 + -5.1k + 7.2k = -11 + -7.2k + 7.2k Combine like terms: -5.1k + 7.2k = 2.1k 10 + 2.1k = -11 + -7.2k + 7.2k Combine like terms: -7.2k + 7.2k = 0.0 10 + 2.1k = -11 + 0.0 10 + 2.1k = -11 Add '-10' to each side of the equation. 10 + -10 + 2.1k = -11 + -10 Combine like terms: 10 + -10 = 0 0 + 2.1k = -11 + -10 2.1k = -11 + -10 Combine like terms: -11 + -10 = -21 2.1k = -21 Divide each side by '2.1'. k = -10 Simplifying k = -10
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