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Simplifying 2(4a + -13) + 3a = 6a + 1 Reorder the terms: 2(-13 + 4a) + 3a = 6a + 1 (-13 * 2 + 4a * 2) + 3a = 6a + 1 (-26 + 8a) + 3a = 6a + 1 Combine like terms: 8a + 3a = 11a -26 + 11a = 6a + 1 Reorder the terms: -26 + 11a = 1 + 6a Solving -26 + 11a = 1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -26 + 11a + -6a = 1 + 6a + -6a Combine like terms: 11a + -6a = 5a -26 + 5a = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 -26 + 5a = 1 + 0 -26 + 5a = 1 Add '26' to each side of the equation. -26 + 26 + 5a = 1 + 26 Combine like terms: -26 + 26 = 0 0 + 5a = 1 + 26 5a = 1 + 26 Combine like terms: 1 + 26 = 27 5a = 27 Divide each side by '5'. a = 5.4 Simplifying a = 5.4
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