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Simplifying 4(a + 3) = -1(a + 1) + -2 Reorder the terms: 4(3 + a) = -1(a + 1) + -2 (3 * 4 + a * 4) = -1(a + 1) + -2 (12 + 4a) = -1(a + 1) + -2 Reorder the terms: 12 + 4a = -1(1 + a) + -2 12 + 4a = (1 * -1 + a * -1) + -2 12 + 4a = (-1 + -1a) + -2 Reorder the terms: 12 + 4a = -1 + -2 + -1a Combine like terms: -1 + -2 = -3 12 + 4a = -3 + -1a Solving 12 + 4a = -3 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 12 + 4a + a = -3 + -1a + a Combine like terms: 4a + a = 5a 12 + 5a = -3 + -1a + a Combine like terms: -1a + a = 0 12 + 5a = -3 + 0 12 + 5a = -3 Add '-12' to each side of the equation. 12 + -12 + 5a = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = -3 + -12 5a = -3 + -12 Combine like terms: -3 + -12 = -15 5a = -15 Divide each side by '5'. a = -3 Simplifying a = -3
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