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Simplifying -5(4.4 + 0.34k) = -4.82(k + 5) (4.4 * -5 + 0.34k * -5) = -4.82(k + 5) (-22 + -1.7k) = -4.82(k + 5) Reorder the terms: -22 + -1.7k = -4.82(5 + k) -22 + -1.7k = (5 * -4.82 + k * -4.82) -22 + -1.7k = (-24.1 + -4.82k) Solving -22 + -1.7k = -24.1 + -4.82k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4.82k' to each side of the equation. -22 + -1.7k + 4.82k = -24.1 + -4.82k + 4.82k Combine like terms: -1.7k + 4.82k = 3.12k -22 + 3.12k = -24.1 + -4.82k + 4.82k Combine like terms: -4.82k + 4.82k = 0.00 -22 + 3.12k = -24.1 + 0.00 -22 + 3.12k = -24.1 Add '22' to each side of the equation. -22 + 22 + 3.12k = -24.1 + 22 Combine like terms: -22 + 22 = 0 0 + 3.12k = -24.1 + 22 3.12k = -24.1 + 22 Combine like terms: -24.1 + 22 = -2.1 3.12k = -2.1 Divide each side by '3.12'. k = -0.6730769231 Simplifying k = -0.6730769231
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