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Simplifying 4(a + 2) = 14 + -2(3 + -1a) Reorder the terms: 4(2 + a) = 14 + -2(3 + -1a) (2 * 4 + a * 4) = 14 + -2(3 + -1a) (8 + 4a) = 14 + -2(3 + -1a) 8 + 4a = 14 + (3 * -2 + -1a * -2) 8 + 4a = 14 + (-6 + 2a) Combine like terms: 14 + -6 = 8 8 + 4a = 8 + 2a Add '-8' to each side of the equation. 8 + -8 + 4a = 8 + -8 + 2a Combine like terms: 8 + -8 = 0 0 + 4a = 8 + -8 + 2a 4a = 8 + -8 + 2a Combine like terms: 8 + -8 = 0 4a = 0 + 2a 4a = 2a Solving 4a = 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. 4a + -2a = 2a + -2a Combine like terms: 4a + -2a = 2a 2a = 2a + -2a Combine like terms: 2a + -2a = 0 2a = 0 Divide each side by '2'. a = 0 Simplifying a = 0
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