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Simplifying -2(a + 4) + -1(2 + 3a) = 0 Reorder the terms: -2(4 + a) + -1(2 + 3a) = 0 (4 * -2 + a * -2) + -1(2 + 3a) = 0 (-8 + -2a) + -1(2 + 3a) = 0 -8 + -2a + (2 * -1 + 3a * -1) = 0 -8 + -2a + (-2 + -3a) = 0 Reorder the terms: -8 + -2 + -2a + -3a = 0 Combine like terms: -8 + -2 = -10 -10 + -2a + -3a = 0 Combine like terms: -2a + -3a = -5a -10 + -5a = 0 Solving -10 + -5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -5a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -5a = 0 + 10 -5a = 0 + 10 Combine like terms: 0 + 10 = 10 -5a = 10 Divide each side by '-5'. a = -2 Simplifying a = -2
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