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Simplifying 2(2a + 13) = 50 + 6a Reorder the terms: 2(13 + 2a) = 50 + 6a (13 * 2 + 2a * 2) = 50 + 6a (26 + 4a) = 50 + 6a Solving 26 + 4a = 50 + 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 + 4a + -6a = 50 + 6a + -6a Combine like terms: 4a + -6a = -2a 26 + -2a = 50 + 6a + -6a Combine like terms: 6a + -6a = 0 26 + -2a = 50 + 0 26 + -2a = 50 Add '-26' to each side of the equation. 26 + -26 + -2a = 50 + -26 Combine like terms: 26 + -26 = 0 0 + -2a = 50 + -26 -2a = 50 + -26 Combine like terms: 50 + -26 = 24 -2a = 24 Divide each side by '-2'. a = -12 Simplifying a = -12
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