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Simplifying 12a + 26b + -1(4b + -16A) = 0 Reorder the terms: 12a + 26b + -1(-16A + 4b) = 0 12a + 26b + (-16A * -1 + 4b * -1) = 0 12a + 26b + (16A + -4b) = 0 Reorder the terms: 16A + 12a + 26b + -4b = 0 Combine like terms: 26b + -4b = 22b 16A + 12a + 22b = 0 Solving 16A + 12a + 22b = 0 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. 16A + 12a + -12a + 22b = 0 + -12a Combine like terms: 12a + -12a = 0 16A + 0 + 22b = 0 + -12a 16A + 22b = 0 + -12a Remove the zero: 16A + 22b = -12a Add '-22b' to each side of the equation. 16A + 22b + -22b = -12a + -22b Combine like terms: 22b + -22b = 0 16A + 0 = -12a + -22b 16A = -12a + -22b Divide each side by '16'. A = -0.75a + -1.375b Simplifying A = -0.75a + -1.375b
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