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Simplifying 197 = 5(4a + 1) + 4a Reorder the terms: 197 = 5(1 + 4a) + 4a 197 = (1 * 5 + 4a * 5) + 4a 197 = (5 + 20a) + 4a Combine like terms: 20a + 4a = 24a 197 = 5 + 24a Solving 197 = 5 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. 197 + -24a = 5 + 24a + -24a Combine like terms: 24a + -24a = 0 197 + -24a = 5 + 0 197 + -24a = 5 Add '-197' to each side of the equation. 197 + -197 + -24a = 5 + -197 Combine like terms: 197 + -197 = 0 0 + -24a = 5 + -197 -24a = 5 + -197 Combine like terms: 5 + -197 = -192 -24a = -192 Divide each side by '-24'. a = 8 Simplifying a = 8
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