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Simplifying -2(5a + 4b + -13c) + 3b = 0 (5a * -2 + 4b * -2 + -13c * -2) + 3b = 0 (-10a + -8b + 26c) + 3b = 0 Reorder the terms: -10a + -8b + 3b + 26c = 0 Combine like terms: -8b + 3b = -5b -10a + -5b + 26c = 0 Solving -10a + -5b + 26c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. -10a + -5b + 5b + 26c = 0 + 5b Combine like terms: -5b + 5b = 0 -10a + 0 + 26c = 0 + 5b -10a + 26c = 0 + 5b Remove the zero: -10a + 26c = 5b Add '-26c' to each side of the equation. -10a + 26c + -26c = 5b + -26c Combine like terms: 26c + -26c = 0 -10a + 0 = 5b + -26c -10a = 5b + -26c Divide each side by '-10'. a = -0.5b + 2.6c Simplifying a = -0.5b + 2.6c
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