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Simplifying 3a + 8x + -12 + 4x + -9a + 4 + -13 + 2y = 0 Reorder the terms: -12 + 4 + -13 + 3a + -9a + 8x + 4x + 2y = 0 Combine like terms: -12 + 4 = -8 -8 + -13 + 3a + -9a + 8x + 4x + 2y = 0 Combine like terms: -8 + -13 = -21 -21 + 3a + -9a + 8x + 4x + 2y = 0 Combine like terms: 3a + -9a = -6a -21 + -6a + 8x + 4x + 2y = 0 Combine like terms: 8x + 4x = 12x -21 + -6a + 12x + 2y = 0 Solving -21 + -6a + 12x + 2y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -6a + 12x + 21 + 2y = 0 + 21 Reorder the terms: -21 + 21 + -6a + 12x + 2y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -6a + 12x + 2y = 0 + 21 -6a + 12x + 2y = 0 + 21 Combine like terms: 0 + 21 = 21 -6a + 12x + 2y = 21 Add '-12x' to each side of the equation. -6a + 12x + -12x + 2y = 21 + -12x Combine like terms: 12x + -12x = 0 -6a + 0 + 2y = 21 + -12x -6a + 2y = 21 + -12x Add '-2y' to each side of the equation. -6a + 2y + -2y = 21 + -12x + -2y Combine like terms: 2y + -2y = 0 -6a + 0 = 21 + -12x + -2y -6a = 21 + -12x + -2y Divide each side by '-6'. a = -3.5 + 2x + 0.3333333333y Simplifying a = -3.5 + 2x + 0.3333333333y
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