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