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Simplifying 8a + c + -3b + d = 0 Reorder the terms: 8a + -3b + c + d = 0 Solving 8a + -3b + c + d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 8a + -3b + c + 3b + d = 0 + 3b Reorder the terms: 8a + -3b + 3b + c + d = 0 + 3b Combine like terms: -3b + 3b = 0 8a + 0 + c + d = 0 + 3b 8a + c + d = 0 + 3b Remove the zero: 8a + c + d = 3b Add '-1c' to each side of the equation. 8a + c + -1c + d = 3b + -1c Combine like terms: c + -1c = 0 8a + 0 + d = 3b + -1c 8a + d = 3b + -1c Add '-1d' to each side of the equation. 8a + d + -1d = 3b + -1c + -1d Combine like terms: d + -1d = 0 8a + 0 = 3b + -1c + -1d 8a = 3b + -1c + -1d Divide each side by '8'. a = 0.375b + -0.125c + -0.125d Simplifying a = 0.375b + -0.125c + -0.125d
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