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Simplifying 3(1 + -3a) = -2 + -4a (1 * 3 + -3a * 3) = -2 + -4a (3 + -9a) = -2 + -4a Solving 3 + -9a = -2 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 3 + -9a + 4a = -2 + -4a + 4a Combine like terms: -9a + 4a = -5a 3 + -5a = -2 + -4a + 4a Combine like terms: -4a + 4a = 0 3 + -5a = -2 + 0 3 + -5a = -2 Add '-3' to each side of the equation. 3 + -3 + -5a = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = -2 + -3 -5a = -2 + -3 Combine like terms: -2 + -3 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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