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Simplifying 3(2a + 3) = 5 + -4(3 + -1a) Reorder the terms: 3(3 + 2a) = 5 + -4(3 + -1a) (3 * 3 + 2a * 3) = 5 + -4(3 + -1a) (9 + 6a) = 5 + -4(3 + -1a) 9 + 6a = 5 + (3 * -4 + -1a * -4) 9 + 6a = 5 + (-12 + 4a) Combine like terms: 5 + -12 = -7 9 + 6a = -7 + 4a Solving 9 + 6a = -7 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 9 + 6a + -4a = -7 + 4a + -4a Combine like terms: 6a + -4a = 2a 9 + 2a = -7 + 4a + -4a Combine like terms: 4a + -4a = 0 9 + 2a = -7 + 0 9 + 2a = -7 Add '-9' to each side of the equation. 9 + -9 + 2a = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 2a = -7 + -9 2a = -7 + -9 Combine like terms: -7 + -9 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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