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Simplifying 5(6 + 5a) = 1 + -4a (6 * 5 + 5a * 5) = 1 + -4a (30 + 25a) = 1 + -4a Solving 30 + 25a = 1 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 30 + 25a + 4a = 1 + -4a + 4a Combine like terms: 25a + 4a = 29a 30 + 29a = 1 + -4a + 4a Combine like terms: -4a + 4a = 0 30 + 29a = 1 + 0 30 + 29a = 1 Add '-30' to each side of the equation. 30 + -30 + 29a = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 29a = 1 + -30 29a = 1 + -30 Combine like terms: 1 + -30 = -29 29a = -29 Divide each side by '29'. a = -1 Simplifying a = -1
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