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Simplifying 4(2a + 3) = -3(a + -1) Reorder the terms: 4(3 + 2a) = -3(a + -1) (3 * 4 + 2a * 4) = -3(a + -1) (12 + 8a) = -3(a + -1) Reorder the terms: 12 + 8a = -3(-1 + a) 12 + 8a = (-1 * -3 + a * -3) 12 + 8a = (3 + -3a) Solving 12 + 8a = 3 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 12 + 8a + 3a = 3 + -3a + 3a Combine like terms: 8a + 3a = 11a 12 + 11a = 3 + -3a + 3a Combine like terms: -3a + 3a = 0 12 + 11a = 3 + 0 12 + 11a = 3 Add '-12' to each side of the equation. 12 + -12 + 11a = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 11a = 3 + -12 11a = 3 + -12 Combine like terms: 3 + -12 = -9 11a = -9 Divide each side by '11'. a = -0.8181818182 Simplifying a = -0.8181818182
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