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