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Simplifying -1(0.79k + 0.227) = -1(2.09k + 0.838) Reorder the terms: -1(0.227 + 0.79k) = -1(2.09k + 0.838) (0.227 * -1 + 0.79k * -1) = -1(2.09k + 0.838) (-0.227 + -0.79k) = -1(2.09k + 0.838) Reorder the terms: -0.227 + -0.79k = -1(0.838 + 2.09k) -0.227 + -0.79k = (0.838 * -1 + 2.09k * -1) -0.227 + -0.79k = (-0.838 + -2.09k) Solving -0.227 + -0.79k = -0.838 + -2.09k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2.09k' to each side of the equation. -0.227 + -0.79k + 2.09k = -0.838 + -2.09k + 2.09k Combine like terms: -0.79k + 2.09k = 1.3k -0.227 + 1.3k = -0.838 + -2.09k + 2.09k Combine like terms: -2.09k + 2.09k = 0.00 -0.227 + 1.3k = -0.838 + 0.00 -0.227 + 1.3k = -0.838 Add '0.227' to each side of the equation. -0.227 + 0.227 + 1.3k = -0.838 + 0.227 Combine like terms: -0.227 + 0.227 = 0.000 0.000 + 1.3k = -0.838 + 0.227 1.3k = -0.838 + 0.227 Combine like terms: -0.838 + 0.227 = -0.611 1.3k = -0.611 Divide each side by '1.3'. k = -0.47 Simplifying k = -0.47
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