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Simplifying 4x + -3y + -1(a + -2) = 0 Reorder the terms: 4x + -3y + -1(-2 + a) = 0 4x + -3y + (-2 * -1 + a * -1) = 0 4x + -3y + (2 + -1a) = 0 Reorder the terms: 2 + -1a + 4x + -3y = 0 Solving 2 + -1a + 4x + -3y = 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 + -1a + 4x + -2 + -3y = 0 + -2 Reorder the terms: 2 + -2 + -1a + 4x + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a + 4x + -3y = 0 + -2 -1a + 4x + -3y = 0 + -2 Combine like terms: 0 + -2 = -2 -1a + 4x + -3y = -2 Add '-4x' to each side of the equation. -1a + 4x + -4x + -3y = -2 + -4x Combine like terms: 4x + -4x = 0 -1a + 0 + -3y = -2 + -4x -1a + -3y = -2 + -4x Add '3y' to each side of the equation. -1a + -3y + 3y = -2 + -4x + 3y Combine like terms: -3y + 3y = 0 -1a + 0 = -2 + -4x + 3y -1a = -2 + -4x + 3y Divide each side by '-1'. a = 2 + 4x + -3y Simplifying a = 2 + 4x + -3y
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