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Simplifying -5.79 + -12.79 + -0.4k = 4.14 + 1.2k Combine like terms: -5.79 + -12.79 = -18.58 -18.58 + -0.4k = 4.14 + 1.2k Solving -18.58 + -0.4k = 4.14 + 1.2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.2k' to each side of the equation. -18.58 + -0.4k + -1.2k = 4.14 + 1.2k + -1.2k Combine like terms: -0.4k + -1.2k = -1.6k -18.58 + -1.6k = 4.14 + 1.2k + -1.2k Combine like terms: 1.2k + -1.2k = 0.0 -18.58 + -1.6k = 4.14 + 0.0 -18.58 + -1.6k = 4.14 Add '18.58' to each side of the equation. -18.58 + 18.58 + -1.6k = 4.14 + 18.58 Combine like terms: -18.58 + 18.58 = 0.00 0.00 + -1.6k = 4.14 + 18.58 -1.6k = 4.14 + 18.58 Combine like terms: 4.14 + 18.58 = 22.72 -1.6k = 22.72 Divide each side by '-1.6'. k = -14.2 Simplifying k = -14.2
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