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Simplifying 5(3a + 1) + -7(2a + -3) = 2(2a + 13) Reorder the terms: 5(1 + 3a) + -7(2a + -3) = 2(2a + 13) (1 * 5 + 3a * 5) + -7(2a + -3) = 2(2a + 13) (5 + 15a) + -7(2a + -3) = 2(2a + 13) Reorder the terms: 5 + 15a + -7(-3 + 2a) = 2(2a + 13) 5 + 15a + (-3 * -7 + 2a * -7) = 2(2a + 13) 5 + 15a + (21 + -14a) = 2(2a + 13) Reorder the terms: 5 + 21 + 15a + -14a = 2(2a + 13) Combine like terms: 5 + 21 = 26 26 + 15a + -14a = 2(2a + 13) Combine like terms: 15a + -14a = 1a 26 + 1a = 2(2a + 13) Reorder the terms: 26 + 1a = 2(13 + 2a) 26 + 1a = (13 * 2 + 2a * 2) 26 + 1a = (26 + 4a) Add '-26' to each side of the equation. 26 + -26 + 1a = 26 + -26 + 4a Combine like terms: 26 + -26 = 0 0 + 1a = 26 + -26 + 4a 1a = 26 + -26 + 4a Combine like terms: 26 + -26 = 0 1a = 0 + 4a 1a = 4a Solving 1a = 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. 1a + -4a = 4a + -4a Combine like terms: 1a + -4a = -3a -3a = 4a + -4a Combine like terms: 4a + -4a = 0 -3a = 0 Divide each side by '-3'. a = 0 Simplifying a = 0
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