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Simplifying 4(a + -5) + -2(a + -4) = -6 Reorder the terms: 4(-5 + a) + -2(a + -4) = -6 (-5 * 4 + a * 4) + -2(a + -4) = -6 (-20 + 4a) + -2(a + -4) = -6 Reorder the terms: -20 + 4a + -2(-4 + a) = -6 -20 + 4a + (-4 * -2 + a * -2) = -6 -20 + 4a + (8 + -2a) = -6 Reorder the terms: -20 + 8 + 4a + -2a = -6 Combine like terms: -20 + 8 = -12 -12 + 4a + -2a = -6 Combine like terms: 4a + -2a = 2a -12 + 2a = -6 Solving -12 + 2a = -6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 2a = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 2a = -6 + 12 2a = -6 + 12 Combine like terms: -6 + 12 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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