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Simplifying k + -38.4 = 7.4k Reorder the terms: -38.4 + k = 7.4k Solving -38.4 + k = 7.4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7.4k' to each side of the equation. -38.4 + k + -7.4k = 7.4k + -7.4k Combine like terms: k + -7.4k = -6.4k -38.4 + -6.4k = 7.4k + -7.4k Combine like terms: 7.4k + -7.4k = 0.0 -38.4 + -6.4k = 0.0 Add '38.4' to each side of the equation. -38.4 + 38.4 + -6.4k = 0.0 + 38.4 Combine like terms: -38.4 + 38.4 = 0.0 0.0 + -6.4k = 0.0 + 38.4 -6.4k = 0.0 + 38.4 Combine like terms: 0.0 + 38.4 = 38.4 -6.4k = 38.4 Divide each side by '-6.4'. k = -6 Simplifying k = -6
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