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Simplifying 5[12 + -1(6 + -3a) + -12a] = 2(1 + -1a) 5[12 + (6 * -1 + -3a * -1) + -12a] = 2(1 + -1a) 5[12 + (-6 + 3a) + -12a] = 2(1 + -1a) Combine like terms: 12 + -6 = 6 5[6 + 3a + -12a] = 2(1 + -1a) Combine like terms: 3a + -12a = -9a 5[6 + -9a] = 2(1 + -1a) [6 * 5 + -9a * 5] = 2(1 + -1a) [30 + -45a] = 2(1 + -1a) 30 + -45a = (1 * 2 + -1a * 2) 30 + -45a = (2 + -2a) Solving 30 + -45a = 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. 30 + -45a + 2a = 2 + -2a + 2a Combine like terms: -45a + 2a = -43a 30 + -43a = 2 + -2a + 2a Combine like terms: -2a + 2a = 0 30 + -43a = 2 + 0 30 + -43a = 2 Add '-30' to each side of the equation. 30 + -30 + -43a = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -43a = 2 + -30 -43a = 2 + -30 Combine like terms: 2 + -30 = -28 -43a = -28 Divide each side by '-43'. a = 0.6511627907 Simplifying a = 0.6511627907
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