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Simplifying -3.42 + 1.1k + -9.56 = -11.36 + 1.4k Reorder the terms: -3.42 + -9.56 + 1.1k = -11.36 + 1.4k Combine like terms: -3.42 + -9.56 = -12.98 -12.98 + 1.1k = -11.36 + 1.4k Solving -12.98 + 1.1k = -11.36 + 1.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.4k' to each side of the equation. -12.98 + 1.1k + -1.4k = -11.36 + 1.4k + -1.4k Combine like terms: 1.1k + -1.4k = -0.3k -12.98 + -0.3k = -11.36 + 1.4k + -1.4k Combine like terms: 1.4k + -1.4k = 0.0 -12.98 + -0.3k = -11.36 + 0.0 -12.98 + -0.3k = -11.36 Add '12.98' to each side of the equation. -12.98 + 12.98 + -0.3k = -11.36 + 12.98 Combine like terms: -12.98 + 12.98 = 0.00 0.00 + -0.3k = -11.36 + 12.98 -0.3k = -11.36 + 12.98 Combine like terms: -11.36 + 12.98 = 1.62 -0.3k = 1.62 Divide each side by '-0.3'. k = -5.4 Simplifying k = -5.4
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