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Simplifying 5(4a + 1) + 6 = -1(-11a + 1) + 6a Reorder the terms: 5(1 + 4a) + 6 = -1(-11a + 1) + 6a (1 * 5 + 4a * 5) + 6 = -1(-11a + 1) + 6a (5 + 20a) + 6 = -1(-11a + 1) + 6a Reorder the terms: 5 + 6 + 20a = -1(-11a + 1) + 6a Combine like terms: 5 + 6 = 11 11 + 20a = -1(-11a + 1) + 6a Reorder the terms: 11 + 20a = -1(1 + -11a) + 6a 11 + 20a = (1 * -1 + -11a * -1) + 6a 11 + 20a = (-1 + 11a) + 6a Combine like terms: 11a + 6a = 17a 11 + 20a = -1 + 17a Solving 11 + 20a = -1 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. 11 + 20a + -17a = -1 + 17a + -17a Combine like terms: 20a + -17a = 3a 11 + 3a = -1 + 17a + -17a Combine like terms: 17a + -17a = 0 11 + 3a = -1 + 0 11 + 3a = -1 Add '-11' to each side of the equation. 11 + -11 + 3a = -1 + -11 Combine like terms: 11 + -11 = 0 0 + 3a = -1 + -11 3a = -1 + -11 Combine like terms: -1 + -11 = -12 3a = -12 Divide each side by '3'. a = -4 Simplifying a = -4
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