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Simplifying k(a + 1) = 5z + 5 Reorder the terms: k(1 + a) = 5z + 5 (1 * k + a * k) = 5z + 5 Reorder the terms: (ak + 1k) = 5z + 5 (ak + 1k) = 5z + 5 Reorder the terms: ak + 1k = 5 + 5z Solving ak + 1k = 5 + 5z Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1k' to each side of the equation. ak + 1k + -1k = 5 + -1k + 5z Combine like terms: 1k + -1k = 0 ak + 0 = 5 + -1k + 5z ak = 5 + -1k + 5z Divide each side by 'k'. a = 5k-1 + -1 + 5k-1z Simplifying a = 5k-1 + -1 + 5k-1z Reorder the terms: a = -1 + 5k-1 + 5k-1z
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