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Simplifying 197 = 8a + -7(1 + 6a) 197 = 8a + (1 * -7 + 6a * -7) 197 = 8a + (-7 + -42a) Reorder the terms: 197 = -7 + 8a + -42a Combine like terms: 8a + -42a = -34a 197 = -7 + -34a Solving 197 = -7 + -34a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '34a' to each side of the equation. 197 + 34a = -7 + -34a + 34a Combine like terms: -34a + 34a = 0 197 + 34a = -7 + 0 197 + 34a = -7 Add '-197' to each side of the equation. 197 + -197 + 34a = -7 + -197 Combine like terms: 197 + -197 = 0 0 + 34a = -7 + -197 34a = -7 + -197 Combine like terms: -7 + -197 = -204 34a = -204 Divide each side by '34'. a = -6 Simplifying a = -6
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