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Simplifying 4(3a + 2) = -3(2a + -3) + 35 Reorder the terms: 4(2 + 3a) = -3(2a + -3) + 35 (2 * 4 + 3a * 4) = -3(2a + -3) + 35 (8 + 12a) = -3(2a + -3) + 35 Reorder the terms: 8 + 12a = -3(-3 + 2a) + 35 8 + 12a = (-3 * -3 + 2a * -3) + 35 8 + 12a = (9 + -6a) + 35 Reorder the terms: 8 + 12a = 9 + 35 + -6a Combine like terms: 9 + 35 = 44 8 + 12a = 44 + -6a Solving 8 + 12a = 44 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 8 + 12a + 6a = 44 + -6a + 6a Combine like terms: 12a + 6a = 18a 8 + 18a = 44 + -6a + 6a Combine like terms: -6a + 6a = 0 8 + 18a = 44 + 0 8 + 18a = 44 Add '-8' to each side of the equation. 8 + -8 + 18a = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 18a = 44 + -8 18a = 44 + -8 Combine like terms: 44 + -8 = 36 18a = 36 Divide each side by '18'. a = 2 Simplifying a = 2
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