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Simplifying 3a + (2a + -5) + 2(a + -2) = 13 Reorder the terms: 3a + (-5 + 2a) + 2(a + -2) = 13 Remove parenthesis around (-5 + 2a) 3a + -5 + 2a + 2(a + -2) = 13 Reorder the terms: 3a + -5 + 2a + 2(-2 + a) = 13 3a + -5 + 2a + (-2 * 2 + a * 2) = 13 3a + -5 + 2a + (-4 + 2a) = 13 Reorder the terms: -5 + -4 + 3a + 2a + 2a = 13 Combine like terms: -5 + -4 = -9 -9 + 3a + 2a + 2a = 13 Combine like terms: 3a + 2a = 5a -9 + 5a + 2a = 13 Combine like terms: 5a + 2a = 7a -9 + 7a = 13 Solving -9 + 7a = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7a = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 7a = 13 + 9 7a = 13 + 9 Combine like terms: 13 + 9 = 22 7a = 22 Divide each side by '7'. a = 3.142857143 Simplifying a = 3.142857143
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