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Simplifying 12(4a + -6x) = -9(8 + 8a) (4a * 12 + -6x * 12) = -9(8 + 8a) (48a + -72x) = -9(8 + 8a) 48a + -72x = (8 * -9 + 8a * -9) 48a + -72x = (-72 + -72a) Solving 48a + -72x = -72 + -72a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '72a' to each side of the equation. 48a + 72a + -72x = -72 + -72a + 72a Combine like terms: 48a + 72a = 120a 120a + -72x = -72 + -72a + 72a Combine like terms: -72a + 72a = 0 120a + -72x = -72 + 0 120a + -72x = -72 Add '72x' to each side of the equation. 120a + -72x + 72x = -72 + 72x Combine like terms: -72x + 72x = 0 120a + 0 = -72 + 72x 120a = -72 + 72x Divide each side by '120'. a = -0.6 + 0.6x Simplifying a = -0.6 + 0.6x
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