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Simplifying 0 = 2a + 4(2x + 3y) + 7y 0 = 2a + (2x * 4 + 3y * 4) + 7y 0 = 2a + (8x + 12y) + 7y Combine like terms: 12y + 7y = 19y 0 = 2a + 8x + 19y Solving 0 = 2a + 8x + 19y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 0 + -2a = 2a + 8x + -2a + 19y Remove the zero: -2a = 2a + 8x + -2a + 19y Reorder the terms: -2a = 2a + -2a + 8x + 19y Combine like terms: 2a + -2a = 0 -2a = 0 + 8x + 19y -2a = 8x + 19y Divide each side by '-2'. a = -4x + -9.5y Simplifying a = -4x + -9.5y
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