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Simplifying 2a + -3b + -4c + 7 = 0 Reorder the terms: 7 + 2a + -3b + -4c = 0 Solving 7 + 2a + -3b + -4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2a + -3b + -7 + -4c = 0 + -7 Reorder the terms: 7 + -7 + 2a + -3b + -4c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2a + -3b + -4c = 0 + -7 2a + -3b + -4c = 0 + -7 Combine like terms: 0 + -7 = -7 2a + -3b + -4c = -7 Add '3b' to each side of the equation. 2a + -3b + 3b + -4c = -7 + 3b Combine like terms: -3b + 3b = 0 2a + 0 + -4c = -7 + 3b 2a + -4c = -7 + 3b Add '4c' to each side of the equation. 2a + -4c + 4c = -7 + 3b + 4c Combine like terms: -4c + 4c = 0 2a + 0 = -7 + 3b + 4c 2a = -7 + 3b + 4c Divide each side by '2'. a = -3.5 + 1.5b + 2c Simplifying a = -3.5 + 1.5b + 2c
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