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Simplifying 5(12 + -1(6a + -3a) + -2a) = 2(1 + -1a) Combine like terms: 6a + -3a = 3a 5(12 + -1(3a) + -2a) = 2(1 + -1a) Remove parenthesis around (3a) 5(12 + -1 * 3a + -2a) = 2(1 + -1a) Multiply -1 * 3 5(12 + -3a + -2a) = 2(1 + -1a) Combine like terms: -3a + -2a = -5a 5(12 + -5a) = 2(1 + -1a) (12 * 5 + -5a * 5) = 2(1 + -1a) (60 + -25a) = 2(1 + -1a) 60 + -25a = (1 * 2 + -1a * 2) 60 + -25a = (2 + -2a) Solving 60 + -25a = 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. 60 + -25a + 2a = 2 + -2a + 2a Combine like terms: -25a + 2a = -23a 60 + -23a = 2 + -2a + 2a Combine like terms: -2a + 2a = 0 60 + -23a = 2 + 0 60 + -23a = 2 Add '-60' to each side of the equation. 60 + -60 + -23a = 2 + -60 Combine like terms: 60 + -60 = 0 0 + -23a = 2 + -60 -23a = 2 + -60 Combine like terms: 2 + -60 = -58 -23a = -58 Divide each side by '-23'. a = 2.52173913 Simplifying a = 2.52173913
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