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Simplifying 6(2a + 4y + -2) + 5(3a + -1y + 4) = 0 Reorder the terms: 6(-2 + 2a + 4y) + 5(3a + -1y + 4) = 0 (-2 * 6 + 2a * 6 + 4y * 6) + 5(3a + -1y + 4) = 0 (-12 + 12a + 24y) + 5(3a + -1y + 4) = 0 Reorder the terms: -12 + 12a + 24y + 5(4 + 3a + -1y) = 0 -12 + 12a + 24y + (4 * 5 + 3a * 5 + -1y * 5) = 0 -12 + 12a + 24y + (20 + 15a + -5y) = 0 Reorder the terms: -12 + 20 + 12a + 15a + 24y + -5y = 0 Combine like terms: -12 + 20 = 8 8 + 12a + 15a + 24y + -5y = 0 Combine like terms: 12a + 15a = 27a 8 + 27a + 24y + -5y = 0 Combine like terms: 24y + -5y = 19y 8 + 27a + 19y = 0 Solving 8 + 27a + 19y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 27a + -8 + 19y = 0 + -8 Reorder the terms: 8 + -8 + 27a + 19y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 27a + 19y = 0 + -8 27a + 19y = 0 + -8 Combine like terms: 0 + -8 = -8 27a + 19y = -8 Add '-19y' to each side of the equation. 27a + 19y + -19y = -8 + -19y Combine like terms: 19y + -19y = 0 27a + 0 = -8 + -19y 27a = -8 + -19y Divide each side by '27'. a = -0.2962962963 + -0.7037037037y Simplifying a = -0.2962962963 + -0.7037037037y
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