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Simplifying -4.2k + -15.49 = 3.4k + 17.95 Reorder the terms: -15.49 + -4.2k = 3.4k + 17.95 Reorder the terms: -15.49 + -4.2k = 17.95 + 3.4k Solving -15.49 + -4.2k = 17.95 + 3.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3.4k' to each side of the equation. -15.49 + -4.2k + -3.4k = 17.95 + 3.4k + -3.4k Combine like terms: -4.2k + -3.4k = -7.6k -15.49 + -7.6k = 17.95 + 3.4k + -3.4k Combine like terms: 3.4k + -3.4k = 0.0 -15.49 + -7.6k = 17.95 + 0.0 -15.49 + -7.6k = 17.95 Add '15.49' to each side of the equation. -15.49 + 15.49 + -7.6k = 17.95 + 15.49 Combine like terms: -15.49 + 15.49 = 0.00 0.00 + -7.6k = 17.95 + 15.49 -7.6k = 17.95 + 15.49 Combine like terms: 17.95 + 15.49 = 33.44 -7.6k = 33.44 Divide each side by '-7.6'. k = -4.4 Simplifying k = -4.4
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