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Simplifying 2x + 4b + 5a + 2y = 12a Reorder the terms: 5a + 4b + 2x + 2y = 12a Solving 5a + 4b + 2x + 2y = 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 5a + 4b + 2x + -12a + 2y = 12a + -12a Reorder the terms: 5a + -12a + 4b + 2x + 2y = 12a + -12a Combine like terms: 5a + -12a = -7a -7a + 4b + 2x + 2y = 12a + -12a Combine like terms: 12a + -12a = 0 -7a + 4b + 2x + 2y = 0 Add '-4b' to each side of the equation. -7a + 4b + 2x + -4b + 2y = 0 + -4b Reorder the terms: -7a + 4b + -4b + 2x + 2y = 0 + -4b Combine like terms: 4b + -4b = 0 -7a + 0 + 2x + 2y = 0 + -4b -7a + 2x + 2y = 0 + -4b Remove the zero: -7a + 2x + 2y = -4b Add '-2x' to each side of the equation. -7a + 2x + -2x + 2y = -4b + -2x Combine like terms: 2x + -2x = 0 -7a + 0 + 2y = -4b + -2x -7a + 2y = -4b + -2x Add '-2y' to each side of the equation. -7a + 2y + -2y = -4b + -2x + -2y Combine like terms: 2y + -2y = 0 -7a + 0 = -4b + -2x + -2y -7a = -4b + -2x + -2y Divide each side by '-7'. a = 0.5714285714b + 0.2857142857x + 0.2857142857y Simplifying a = 0.5714285714b + 0.2857142857x + 0.2857142857y
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