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Simplifying -2(-3a + -1) + -6x(x + 8) = 0 Reorder the terms: -2(-1 + -3a) + -6x(x + 8) = 0 (-1 * -2 + -3a * -2) + -6x(x + 8) = 0 (2 + 6a) + -6x(x + 8) = 0 Reorder the terms: 2 + 6a + -6x(8 + x) = 0 2 + 6a + (8 * -6x + x * -6x) = 0 2 + 6a + (-48x + -6x2) = 0 Solving 2 + 6a + -48x + -6x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 6a + -48x + -2 + -6x2 = 0 + -2 Reorder the terms: 2 + -2 + 6a + -48x + -6x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6a + -48x + -6x2 = 0 + -2 6a + -48x + -6x2 = 0 + -2 Combine like terms: 0 + -2 = -2 6a + -48x + -6x2 = -2 Add '48x' to each side of the equation. 6a + -48x + 48x + -6x2 = -2 + 48x Combine like terms: -48x + 48x = 0 6a + 0 + -6x2 = -2 + 48x 6a + -6x2 = -2 + 48x Add '6x2' to each side of the equation. 6a + -6x2 + 6x2 = -2 + 48x + 6x2 Combine like terms: -6x2 + 6x2 = 0 6a + 0 = -2 + 48x + 6x2 6a = -2 + 48x + 6x2 Divide each side by '6'. a = -0.3333333333 + 8x + x2 Simplifying a = -0.3333333333 + 8x + x2
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