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Simplifying 4(3a + -5) + -6 = 6 + -4(3a + 8) Reorder the terms: 4(-5 + 3a) + -6 = 6 + -4(3a + 8) (-5 * 4 + 3a * 4) + -6 = 6 + -4(3a + 8) (-20 + 12a) + -6 = 6 + -4(3a + 8) Reorder the terms: -20 + -6 + 12a = 6 + -4(3a + 8) Combine like terms: -20 + -6 = -26 -26 + 12a = 6 + -4(3a + 8) Reorder the terms: -26 + 12a = 6 + -4(8 + 3a) -26 + 12a = 6 + (8 * -4 + 3a * -4) -26 + 12a = 6 + (-32 + -12a) Combine like terms: 6 + -32 = -26 -26 + 12a = -26 + -12a Add '26' to each side of the equation. -26 + 26 + 12a = -26 + 26 + -12a Combine like terms: -26 + 26 = 0 0 + 12a = -26 + 26 + -12a 12a = -26 + 26 + -12a Combine like terms: -26 + 26 = 0 12a = 0 + -12a 12a = -12a Solving 12a = -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 12a + 12a = -12a + 12a Combine like terms: 12a + 12a = 24a 24a = -12a + 12a Combine like terms: -12a + 12a = 0 24a = 0 Divide each side by '24'. a = 0 Simplifying a = 0
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