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Simplifying 2(-4 + -1a) + -4(3 + -1a) = -14 (-4 * 2 + -1a * 2) + -4(3 + -1a) = -14 (-8 + -2a) + -4(3 + -1a) = -14 -8 + -2a + (3 * -4 + -1a * -4) = -14 -8 + -2a + (-12 + 4a) = -14 Reorder the terms: -8 + -12 + -2a + 4a = -14 Combine like terms: -8 + -12 = -20 -20 + -2a + 4a = -14 Combine like terms: -2a + 4a = 2a -20 + 2a = -14 Solving -20 + 2a = -14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 2a = -14 + 20 Combine like terms: -20 + 20 = 0 0 + 2a = -14 + 20 2a = -14 + 20 Combine like terms: -14 + 20 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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