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Simplifying 5a + -3(3 + -2a) = 2(a + 1) 5a + (3 * -3 + -2a * -3) = 2(a + 1) 5a + (-9 + 6a) = 2(a + 1) Reorder the terms: -9 + 5a + 6a = 2(a + 1) Combine like terms: 5a + 6a = 11a -9 + 11a = 2(a + 1) Reorder the terms: -9 + 11a = 2(1 + a) -9 + 11a = (1 * 2 + a * 2) -9 + 11a = (2 + 2a) Solving -9 + 11a = 2 + 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. -9 + 11a + -2a = 2 + 2a + -2a Combine like terms: 11a + -2a = 9a -9 + 9a = 2 + 2a + -2a Combine like terms: 2a + -2a = 0 -9 + 9a = 2 + 0 -9 + 9a = 2 Add '9' to each side of the equation. -9 + 9 + 9a = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 9a = 2 + 9 9a = 2 + 9 Combine like terms: 2 + 9 = 11 9a = 11 Divide each side by '9'. a = 1.222222222 Simplifying a = 1.222222222
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