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Simplifying -2(4a + 3b + -13c) + 2b = 0 (4a * -2 + 3b * -2 + -13c * -2) + 2b = 0 (-8a + -6b + 26c) + 2b = 0 Reorder the terms: -8a + -6b + 2b + 26c = 0 Combine like terms: -6b + 2b = -4b -8a + -4b + 26c = 0 Solving -8a + -4b + 26c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. -8a + -4b + 4b + 26c = 0 + 4b Combine like terms: -4b + 4b = 0 -8a + 0 + 26c = 0 + 4b -8a + 26c = 0 + 4b Remove the zero: -8a + 26c = 4b Add '-26c' to each side of the equation. -8a + 26c + -26c = 4b + -26c Combine like terms: 26c + -26c = 0 -8a + 0 = 4b + -26c -8a = 4b + -26c Divide each side by '-8'. a = -0.5b + 3.25c Simplifying a = -0.5b + 3.25c
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