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Simplifying -3(2a + -5) + 4 = 2 + 3(3a + 1) Reorder the terms: -3(-5 + 2a) + 4 = 2 + 3(3a + 1) (-5 * -3 + 2a * -3) + 4 = 2 + 3(3a + 1) (15 + -6a) + 4 = 2 + 3(3a + 1) Reorder the terms: 15 + 4 + -6a = 2 + 3(3a + 1) Combine like terms: 15 + 4 = 19 19 + -6a = 2 + 3(3a + 1) Reorder the terms: 19 + -6a = 2 + 3(1 + 3a) 19 + -6a = 2 + (1 * 3 + 3a * 3) 19 + -6a = 2 + (3 + 9a) Combine like terms: 2 + 3 = 5 19 + -6a = 5 + 9a Solving 19 + -6a = 5 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 19 + -6a + -9a = 5 + 9a + -9a Combine like terms: -6a + -9a = -15a 19 + -15a = 5 + 9a + -9a Combine like terms: 9a + -9a = 0 19 + -15a = 5 + 0 19 + -15a = 5 Add '-19' to each side of the equation. 19 + -19 + -15a = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -15a = 5 + -19 -15a = 5 + -19 Combine like terms: 5 + -19 = -14 -15a = -14 Divide each side by '-15'. a = 0.9333333333 Simplifying a = 0.9333333333
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