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Simplifying 2(a + 2) + 3a = 13 + -1(2a + 2) Reorder the terms: 2(2 + a) + 3a = 13 + -1(2a + 2) (2 * 2 + a * 2) + 3a = 13 + -1(2a + 2) (4 + 2a) + 3a = 13 + -1(2a + 2) Combine like terms: 2a + 3a = 5a 4 + 5a = 13 + -1(2a + 2) Reorder the terms: 4 + 5a = 13 + -1(2 + 2a) 4 + 5a = 13 + (2 * -1 + 2a * -1) 4 + 5a = 13 + (-2 + -2a) Combine like terms: 13 + -2 = 11 4 + 5a = 11 + -2a Solving 4 + 5a = 11 + -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. 4 + 5a + 2a = 11 + -2a + 2a Combine like terms: 5a + 2a = 7a 4 + 7a = 11 + -2a + 2a Combine like terms: -2a + 2a = 0 4 + 7a = 11 + 0 4 + 7a = 11 Add '-4' to each side of the equation. 4 + -4 + 7a = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 7a = 11 + -4 7a = 11 + -4 Combine like terms: 11 + -4 = 7 7a = 7 Divide each side by '7'. a = 1 Simplifying a = 1
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