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Simplifying 6(a + 3b) + -2a + 5c + 4b = 0 (a * 6 + 3b * 6) + -2a + 5c + 4b = 0 (6a + 18b) + -2a + 5c + 4b = 0 Reorder the terms: 6a + -2a + 18b + 4b + 5c = 0 Combine like terms: 6a + -2a = 4a 4a + 18b + 4b + 5c = 0 Combine like terms: 18b + 4b = 22b 4a + 22b + 5c = 0 Solving 4a + 22b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22b' to each side of the equation. 4a + 22b + -22b + 5c = 0 + -22b Combine like terms: 22b + -22b = 0 4a + 0 + 5c = 0 + -22b 4a + 5c = 0 + -22b Remove the zero: 4a + 5c = -22b Add '-5c' to each side of the equation. 4a + 5c + -5c = -22b + -5c Combine like terms: 5c + -5c = 0 4a + 0 = -22b + -5c 4a = -22b + -5c Divide each side by '4'. a = -5.5b + -1.25c Simplifying a = -5.5b + -1.25c
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