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Simplifying a + -4(-5a + -2) = 12a + -3 Reorder the terms: a + -4(-2 + -5a) = 12a + -3 a + (-2 * -4 + -5a * -4) = 12a + -3 a + (8 + 20a) = 12a + -3 Reorder the terms: 8 + a + 20a = 12a + -3 Combine like terms: a + 20a = 21a 8 + 21a = 12a + -3 Reorder the terms: 8 + 21a = -3 + 12a Solving 8 + 21a = -3 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 8 + 21a + -12a = -3 + 12a + -12a Combine like terms: 21a + -12a = 9a 8 + 9a = -3 + 12a + -12a Combine like terms: 12a + -12a = 0 8 + 9a = -3 + 0 8 + 9a = -3 Add '-8' to each side of the equation. 8 + -8 + 9a = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 9a = -3 + -8 9a = -3 + -8 Combine like terms: -3 + -8 = -11 9a = -11 Divide each side by '9'. a = -1.222222222 Simplifying a = -1.222222222
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