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Simplifying 8a + -1(5x + -3) + -1(4a + 2) = 0 Reorder the terms: 8a + -1(-3 + 5x) + -1(4a + 2) = 0 8a + (-3 * -1 + 5x * -1) + -1(4a + 2) = 0 8a + (3 + -5x) + -1(4a + 2) = 0 Reorder the terms: 8a + 3 + -5x + -1(2 + 4a) = 0 8a + 3 + -5x + (2 * -1 + 4a * -1) = 0 8a + 3 + -5x + (-2 + -4a) = 0 Reorder the terms: 3 + -2 + 8a + -4a + -5x = 0 Combine like terms: 3 + -2 = 1 1 + 8a + -4a + -5x = 0 Combine like terms: 8a + -4a = 4a 1 + 4a + -5x = 0 Solving 1 + 4a + -5x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4a + -1 + -5x = 0 + -1 Reorder the terms: 1 + -1 + 4a + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4a + -5x = 0 + -1 4a + -5x = 0 + -1 Combine like terms: 0 + -1 = -1 4a + -5x = -1 Add '5x' to each side of the equation. 4a + -5x + 5x = -1 + 5x Combine like terms: -5x + 5x = 0 4a + 0 = -1 + 5x 4a = -1 + 5x Divide each side by '4'. a = -0.25 + 1.25x Simplifying a = -0.25 + 1.25x
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