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Simplifying -8a + 4b + -2c + d = 5 Solving -8a + 4b + -2c + d = 5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. -8a + 4b + -2c + -4b + d = 5 + -4b Reorder the terms: -8a + 4b + -4b + -2c + d = 5 + -4b Combine like terms: 4b + -4b = 0 -8a + 0 + -2c + d = 5 + -4b -8a + -2c + d = 5 + -4b Add '2c' to each side of the equation. -8a + -2c + 2c + d = 5 + -4b + 2c Combine like terms: -2c + 2c = 0 -8a + 0 + d = 5 + -4b + 2c -8a + d = 5 + -4b + 2c Add '-1d' to each side of the equation. -8a + d + -1d = 5 + -4b + 2c + -1d Combine like terms: d + -1d = 0 -8a + 0 = 5 + -4b + 2c + -1d -8a = 5 + -4b + 2c + -1d Divide each side by '-8'. a = -0.625 + 0.5b + -0.25c + 0.125d Simplifying a = -0.625 + 0.5b + -0.25c + 0.125d
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