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Simplifying 3a + 4x + y + b + 6 + z + 20 = 180 Reorder the terms: 6 + 20 + 3a + b + 4x + y + z = 180 Combine like terms: 6 + 20 = 26 26 + 3a + b + 4x + y + z = 180 Solving 26 + 3a + b + 4x + y + z = 180 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + 3a + b + 4x + y + -26 + z = 180 + -26 Reorder the terms: 26 + -26 + 3a + b + 4x + y + z = 180 + -26 Combine like terms: 26 + -26 = 0 0 + 3a + b + 4x + y + z = 180 + -26 3a + b + 4x + y + z = 180 + -26 Combine like terms: 180 + -26 = 154 3a + b + 4x + y + z = 154 Add '-1b' to each side of the equation. 3a + b + 4x + y + -1b + z = 154 + -1b Reorder the terms: 3a + b + -1b + 4x + y + z = 154 + -1b Combine like terms: b + -1b = 0 3a + 0 + 4x + y + z = 154 + -1b 3a + 4x + y + z = 154 + -1b Add '-4x' to each side of the equation. 3a + 4x + y + -4x + z = 154 + -1b + -4x Reorder the terms: 3a + 4x + -4x + y + z = 154 + -1b + -4x Combine like terms: 4x + -4x = 0 3a + 0 + y + z = 154 + -1b + -4x 3a + y + z = 154 + -1b + -4x Add '-1y' to each side of the equation. 3a + y + -1y + z = 154 + -1b + -4x + -1y Combine like terms: y + -1y = 0 3a + 0 + z = 154 + -1b + -4x + -1y 3a + z = 154 + -1b + -4x + -1y Add '-1z' to each side of the equation. 3a + z + -1z = 154 + -1b + -4x + -1y + -1z Combine like terms: z + -1z = 0 3a + 0 = 154 + -1b + -4x + -1y + -1z 3a = 154 + -1b + -4x + -1y + -1z Divide each side by '3'. a = 51.33333333 + -0.3333333333b + -1.333333333x + -0.3333333333y + -0.3333333333z Simplifying a = 51.33333333 + -0.3333333333b + -1.333333333x + -0.3333333333y + -0.3333333333z
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