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Simplifying 21x + 56b + -12y + 8a = 0 Reorder the terms: 8a + 56b + 21x + -12y = 0 Solving 8a + 56b + 21x + -12y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56b' to each side of the equation. 8a + 56b + 21x + -56b + -12y = 0 + -56b Reorder the terms: 8a + 56b + -56b + 21x + -12y = 0 + -56b Combine like terms: 56b + -56b = 0 8a + 0 + 21x + -12y = 0 + -56b 8a + 21x + -12y = 0 + -56b Remove the zero: 8a + 21x + -12y = -56b Add '-21x' to each side of the equation. 8a + 21x + -21x + -12y = -56b + -21x Combine like terms: 21x + -21x = 0 8a + 0 + -12y = -56b + -21x 8a + -12y = -56b + -21x Add '12y' to each side of the equation. 8a + -12y + 12y = -56b + -21x + 12y Combine like terms: -12y + 12y = 0 8a + 0 = -56b + -21x + 12y 8a = -56b + -21x + 12y Divide each side by '8'. a = -7b + -2.625x + 1.5y Simplifying a = -7b + -2.625x + 1.5y
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