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Simplifying 5[12 + -1(6 + -3a) + -2a] = 2(1 + -2) 5[12 + (6 * -1 + -3a * -1) + -2a] = 2(1 + -2) 5[12 + (-6 + 3a) + -2a] = 2(1 + -2) Combine like terms: 12 + -6 = 6 5[6 + 3a + -2a] = 2(1 + -2) Combine like terms: 3a + -2a = 1a 5[6 + 1a] = 2(1 + -2) [6 * 5 + 1a * 5] = 2(1 + -2) [30 + 5a] = 2(1 + -2) Combine like terms: 1 + -2 = -1 30 + 5a = 2(-1) Multiply 2 * -1 30 + 5a = -2 Solving 30 + 5a = -2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5a = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 5a = -2 + -30 5a = -2 + -30 Combine like terms: -2 + -30 = -32 5a = -32 Divide each side by '5'. a = -6.4 Simplifying a = -6.4
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