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Simplifying 4(a + -5) + 6(2 + -1a) = 12 Reorder the terms: 4(-5 + a) + 6(2 + -1a) = 12 (-5 * 4 + a * 4) + 6(2 + -1a) = 12 (-20 + 4a) + 6(2 + -1a) = 12 -20 + 4a + (2 * 6 + -1a * 6) = 12 -20 + 4a + (12 + -6a) = 12 Reorder the terms: -20 + 12 + 4a + -6a = 12 Combine like terms: -20 + 12 = -8 -8 + 4a + -6a = 12 Combine like terms: 4a + -6a = -2a -8 + -2a = 12 Solving -8 + -2a = 12 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 + -2a = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -2a = 12 + 8 -2a = 12 + 8 Combine like terms: 12 + 8 = 20 -2a = 20 Divide each side by '-2'. a = -10 Simplifying a = -10
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