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Simplifying -2(1 + 3a) + -6(1 + -3a) = 40 (1 * -2 + 3a * -2) + -6(1 + -3a) = 40 (-2 + -6a) + -6(1 + -3a) = 40 -2 + -6a + (1 * -6 + -3a * -6) = 40 -2 + -6a + (-6 + 18a) = 40 Reorder the terms: -2 + -6 + -6a + 18a = 40 Combine like terms: -2 + -6 = -8 -8 + -6a + 18a = 40 Combine like terms: -6a + 18a = 12a -8 + 12a = 40 Solving -8 + 12a = 40 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12a = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 12a = 40 + 8 12a = 40 + 8 Combine like terms: 40 + 8 = 48 12a = 48 Divide each side by '12'. a = 4 Simplifying a = 4
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