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Simplifying -4a + -2b + -1[3b + -1(c + -3b + 4a) + -5] + c = 0 Reorder the terms: -4a + -2b + -1[3b + -1(4a + -3b + c) + -5] + c = 0 -4a + -2b + -1[3b + (4a * -1 + -3b * -1 + c * -1) + -5] + c = 0 -4a + -2b + -1[3b + (-4a + 3b + -1c) + -5] + c = 0 Reorder the terms: -4a + -2b + -1[-5 + -4a + 3b + 3b + -1c] + c = 0 Combine like terms: 3b + 3b = 6b -4a + -2b + -1[-5 + -4a + 6b + -1c] + c = 0 -4a + -2b + [-5 * -1 + -4a * -1 + 6b * -1 + -1c * -1] + c = 0 -4a + -2b + [5 + 4a + -6b + 1c] + c = 0 Reorder the terms: 5 + -4a + 4a + -2b + -6b + 1c + c = 0 Combine like terms: -4a + 4a = 0 5 + 0 + -2b + -6b + 1c + c = 0 5 + -2b + -6b + 1c + c = 0 Combine like terms: -2b + -6b = -8b 5 + -8b + 1c + c = 0 Combine like terms: 1c + c = 2c 5 + -8b + 2c = 0 Solving 5 + -8b + 2c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -8b + -5 + 2c = 0 + -5 Reorder the terms: 5 + -5 + -8b + 2c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8b + 2c = 0 + -5 -8b + 2c = 0 + -5 Combine like terms: 0 + -5 = -5 -8b + 2c = -5 Add '-2c' to each side of the equation. -8b + 2c + -2c = -5 + -2c Combine like terms: 2c + -2c = 0 -8b + 0 = -5 + -2c -8b = -5 + -2c Divide each side by '-8'. b = 0.625 + 0.25c Simplifying b = 0.625 + 0.25c
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