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Simplifying 3(4y + 7a) + -5(y + -12a) = 0 Reorder the terms: 3(7a + 4y) + -5(y + -12a) = 0 (7a * 3 + 4y * 3) + -5(y + -12a) = 0 (21a + 12y) + -5(y + -12a) = 0 Reorder the terms: 21a + 12y + -5(-12a + y) = 0 21a + 12y + (-12a * -5 + y * -5) = 0 21a + 12y + (60a + -5y) = 0 Reorder the terms: 21a + 60a + 12y + -5y = 0 Combine like terms: 21a + 60a = 81a 81a + 12y + -5y = 0 Combine like terms: 12y + -5y = 7y 81a + 7y = 0 Solving 81a + 7y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7y' to each side of the equation. 81a + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 81a + 0 = 0 + -7y 81a = 0 + -7y Remove the zero: 81a = -7y Divide each side by '81'. a = -0.08641975309y Simplifying a = -0.08641975309y
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