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Simplifying 2(x + 8a) = -3(x + 3) Reorder the terms: 2(8a + x) = -3(x + 3) (8a * 2 + x * 2) = -3(x + 3) (16a + 2x) = -3(x + 3) Reorder the terms: 16a + 2x = -3(3 + x) 16a + 2x = (3 * -3 + x * -3) 16a + 2x = (-9 + -3x) Solving 16a + 2x = -9 + -3x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. 16a + 2x + -2x = -9 + -3x + -2x Combine like terms: 2x + -2x = 0 16a + 0 = -9 + -3x + -2x 16a = -9 + -3x + -2x Combine like terms: -3x + -2x = -5x 16a = -9 + -5x Divide each side by '16'. a = -0.5625 + -0.3125x Simplifying a = -0.5625 + -0.3125x
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