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Simplifying 4a + -1(3b + -2c + d) + -8 = 0 4a + (3b * -1 + -2c * -1 + d * -1) + -8 = 0 4a + (-3b + 2c + -1d) + -8 = 0 Reorder the terms: -8 + 4a + -3b + 2c + -1d = 0 Solving -8 + 4a + -3b + 2c + -1d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4a + -3b + 2c + 8 + -1d = 0 + 8 Reorder the terms: -8 + 8 + 4a + -3b + 2c + -1d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4a + -3b + 2c + -1d = 0 + 8 4a + -3b + 2c + -1d = 0 + 8 Combine like terms: 0 + 8 = 8 4a + -3b + 2c + -1d = 8 Add '3b' to each side of the equation. 4a + -3b + 2c + 3b + -1d = 8 + 3b Reorder the terms: 4a + -3b + 3b + 2c + -1d = 8 + 3b Combine like terms: -3b + 3b = 0 4a + 0 + 2c + -1d = 8 + 3b 4a + 2c + -1d = 8 + 3b Add '-2c' to each side of the equation. 4a + 2c + -2c + -1d = 8 + 3b + -2c Combine like terms: 2c + -2c = 0 4a + 0 + -1d = 8 + 3b + -2c 4a + -1d = 8 + 3b + -2c Add 'd' to each side of the equation. 4a + -1d + d = 8 + 3b + -2c + d Combine like terms: -1d + d = 0 4a + 0 = 8 + 3b + -2c + d 4a = 8 + 3b + -2c + d Divide each side by '4'. a = 2 + 0.75b + -0.5c + 0.25d Simplifying a = 2 + 0.75b + -0.5c + 0.25d
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