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Simplifying 4(a + 3) + -2 = 2(a + 4) Reorder the terms: 4(3 + a) + -2 = 2(a + 4) (3 * 4 + a * 4) + -2 = 2(a + 4) (12 + 4a) + -2 = 2(a + 4) Reorder the terms: 12 + -2 + 4a = 2(a + 4) Combine like terms: 12 + -2 = 10 10 + 4a = 2(a + 4) Reorder the terms: 10 + 4a = 2(4 + a) 10 + 4a = (4 * 2 + a * 2) 10 + 4a = (8 + 2a) Solving 10 + 4a = 8 + 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. 10 + 4a + -2a = 8 + 2a + -2a Combine like terms: 4a + -2a = 2a 10 + 2a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 10 + 2a = 8 + 0 10 + 2a = 8 Add '-10' to each side of the equation. 10 + -10 + 2a = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = 8 + -10 2a = 8 + -10 Combine like terms: 8 + -10 = -2 2a = -2 Divide each side by '2'. a = -1 Simplifying a = -1
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