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Simplifying -1.00203 + 5k = -5.795(7.1 + -3.7k) + 4.3 -1.00203 + 5k = (7.1 * -5.795 + -3.7k * -5.795) + 4.3 -1.00203 + 5k = (-41.1445 + 21.4415k) + 4.3 Reorder the terms: -1.00203 + 5k = -41.1445 + 4.3 + 21.4415k Combine like terms: -41.1445 + 4.3 = -36.8445 -1.00203 + 5k = -36.8445 + 21.4415k Solving -1.00203 + 5k = -36.8445 + 21.4415k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21.4415k' to each side of the equation. -1.00203 + 5k + -21.4415k = -36.8445 + 21.4415k + -21.4415k Combine like terms: 5k + -21.4415k = -16.4415k -1.00203 + -16.4415k = -36.8445 + 21.4415k + -21.4415k Combine like terms: 21.4415k + -21.4415k = 0.0000 -1.00203 + -16.4415k = -36.8445 + 0.0000 -1.00203 + -16.4415k = -36.8445 Add '1.00203' to each side of the equation. -1.00203 + 1.00203 + -16.4415k = -36.8445 + 1.00203 Combine like terms: -1.00203 + 1.00203 = 0.00000 0.00000 + -16.4415k = -36.8445 + 1.00203 -16.4415k = -36.8445 + 1.00203 Combine like terms: -36.8445 + 1.00203 = -35.84247 -16.4415k = -35.84247 Divide each side by '-16.4415'. k = 2.18 Simplifying k = 2.18
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