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Simplifying 3a + 1(2a + -5) = 13 + -2(1a + 2) Reorder the terms: 3a + 1(-5 + 2a) = 13 + -2(1a + 2) 3a + (-5 * 1 + 2a * 1) = 13 + -2(1a + 2) 3a + (-5 + 2a) = 13 + -2(1a + 2) Reorder the terms: -5 + 3a + 2a = 13 + -2(1a + 2) Combine like terms: 3a + 2a = 5a -5 + 5a = 13 + -2(1a + 2) Reorder the terms: -5 + 5a = 13 + -2(2 + 1a) -5 + 5a = 13 + (2 * -2 + 1a * -2) -5 + 5a = 13 + (-4 + -2a) Combine like terms: 13 + -4 = 9 -5 + 5a = 9 + -2a Solving -5 + 5a = 9 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -5 + 5a + 2a = 9 + -2a + 2a Combine like terms: 5a + 2a = 7a -5 + 7a = 9 + -2a + 2a Combine like terms: -2a + 2a = 0 -5 + 7a = 9 + 0 -5 + 7a = 9 Add '5' to each side of the equation. -5 + 5 + 7a = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7a = 9 + 5 7a = 9 + 5 Combine like terms: 9 + 5 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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