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Simplifying z = 6a + (3c + -2b) + -4a + -1(3c + b) + 2a + -1(c + -4b) Reorder the terms: z = 6a + (-2b + 3c) + -4a + -1(3c + b) + 2a + -1(c + -4b) Remove parenthesis around (-2b + 3c) z = 6a + -2b + 3c + -4a + -1(3c + b) + 2a + -1(c + -4b) Reorder the terms: z = 6a + -2b + 3c + -4a + -1(b + 3c) + 2a + -1(c + -4b) z = 6a + -2b + 3c + -4a + (b * -1 + 3c * -1) + 2a + -1(c + -4b) z = 6a + -2b + 3c + -4a + (-1b + -3c) + 2a + -1(c + -4b) Reorder the terms: z = 6a + -2b + 3c + -4a + -1b + -3c + 2a + -1(-4b + c) z = 6a + -2b + 3c + -4a + -1b + -3c + 2a + (-4b * -1 + c * -1) z = 6a + -2b + 3c + -4a + -1b + -3c + 2a + (4b + -1c) Reorder the terms: z = 6a + -4a + 2a + -2b + -1b + 4b + 3c + -3c + -1c Combine like terms: 6a + -4a = 2a z = 2a + 2a + -2b + -1b + 4b + 3c + -3c + -1c Combine like terms: 2a + 2a = 4a z = 4a + -2b + -1b + 4b + 3c + -3c + -1c Combine like terms: -2b + -1b = -3b z = 4a + -3b + 4b + 3c + -3c + -1c Combine like terms: -3b + 4b = 1b z = 4a + 1b + 3c + -3c + -1c Combine like terms: 3c + -3c = 0 z = 4a + 1b + 0 + -1c z = 4a + 1b + -1c Solving z = 4a + 1b + -1c Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Simplifying z = 4a + 1b + -1c
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