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Simplifying 3a + (2a + -5) = 13 + -2(a + -2) Reorder the terms: 3a + (-5 + 2a) = 13 + -2(a + -2) Remove parenthesis around (-5 + 2a) 3a + -5 + 2a = 13 + -2(a + -2) Reorder the terms: -5 + 3a + 2a = 13 + -2(a + -2) Combine like terms: 3a + 2a = 5a -5 + 5a = 13 + -2(a + -2) Reorder the terms: -5 + 5a = 13 + -2(-2 + a) -5 + 5a = 13 + (-2 * -2 + a * -2) -5 + 5a = 13 + (4 + -2a) Combine like terms: 13 + 4 = 17 -5 + 5a = 17 + -2a Solving -5 + 5a = 17 + -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 = 17 + -2a + 2a Combine like terms: 5a + 2a = 7a -5 + 7a = 17 + -2a + 2a Combine like terms: -2a + 2a = 0 -5 + 7a = 17 + 0 -5 + 7a = 17 Add '5' to each side of the equation. -5 + 5 + 7a = 17 + 5 Combine like terms: -5 + 5 = 0 0 + 7a = 17 + 5 7a = 17 + 5 Combine like terms: 17 + 5 = 22 7a = 22 Divide each side by '7'. a = 3.142857143 Simplifying a = 3.142857143
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