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Simplifying 3.3(-5.94k + 6.454) = 7.68k + -26.9859 Reorder the terms: 3.3(6.454 + -5.94k) = 7.68k + -26.9859 (6.454 * 3.3 + -5.94k * 3.3) = 7.68k + -26.9859 (21.2982 + -19.602k) = 7.68k + -26.9859 Reorder the terms: 21.2982 + -19.602k = -26.9859 + 7.68k Solving 21.2982 + -19.602k = -26.9859 + 7.68k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7.68k' to each side of the equation. 21.2982 + -19.602k + -7.68k = -26.9859 + 7.68k + -7.68k Combine like terms: -19.602k + -7.68k = -27.282k 21.2982 + -27.282k = -26.9859 + 7.68k + -7.68k Combine like terms: 7.68k + -7.68k = 0.00 21.2982 + -27.282k = -26.9859 + 0.00 21.2982 + -27.282k = -26.9859 Add '-21.2982' to each side of the equation. 21.2982 + -21.2982 + -27.282k = -26.9859 + -21.2982 Combine like terms: 21.2982 + -21.2982 = 0.0000 0.0000 + -27.282k = -26.9859 + -21.2982 -27.282k = -26.9859 + -21.2982 Combine like terms: -26.9859 + -21.2982 = -48.2841 -27.282k = -48.2841 Divide each side by '-27.282'. k = 1.769815263 Simplifying k = 1.769815263
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