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Simplifying 4a + 3b + 2c + -19 = 0 Reorder the terms: -19 + 4a + 3b + 2c = 0 Solving -19 + 4a + 3b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 4a + 3b + 19 + 2c = 0 + 19 Reorder the terms: -19 + 19 + 4a + 3b + 2c = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 4a + 3b + 2c = 0 + 19 4a + 3b + 2c = 0 + 19 Combine like terms: 0 + 19 = 19 4a + 3b + 2c = 19 Add '-3b' to each side of the equation. 4a + 3b + -3b + 2c = 19 + -3b Combine like terms: 3b + -3b = 0 4a + 0 + 2c = 19 + -3b 4a + 2c = 19 + -3b Add '-2c' to each side of the equation. 4a + 2c + -2c = 19 + -3b + -2c Combine like terms: 2c + -2c = 0 4a + 0 = 19 + -3b + -2c 4a = 19 + -3b + -2c Divide each side by '4'. a = 4.75 + -0.75b + -0.5c Simplifying a = 4.75 + -0.75b + -0.5c
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