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Simplifying 12x + 12y + 13a + -1b = 8 Reorder the terms: 13a + -1b + 12x + 12y = 8 Solving 13a + -1b + 12x + 12y = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 13a + -1b + 12x + b + 12y = 8 + b Reorder the terms: 13a + -1b + b + 12x + 12y = 8 + b Combine like terms: -1b + b = 0 13a + 0 + 12x + 12y = 8 + b 13a + 12x + 12y = 8 + b Add '-12x' to each side of the equation. 13a + 12x + -12x + 12y = 8 + b + -12x Combine like terms: 12x + -12x = 0 13a + 0 + 12y = 8 + b + -12x 13a + 12y = 8 + b + -12x Add '-12y' to each side of the equation. 13a + 12y + -12y = 8 + b + -12x + -12y Combine like terms: 12y + -12y = 0 13a + 0 = 8 + b + -12x + -12y 13a = 8 + b + -12x + -12y Divide each side by '13'. a = 0.6153846154 + 0.07692307692b + -0.9230769231x + -0.9230769231y Simplifying a = 0.6153846154 + 0.07692307692b + -0.9230769231x + -0.9230769231y
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