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Simplifying 8a + 4b + 2c + d = 10 Solving 8a + 4b + 2c + d = 10 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 = 10 + -4b Reorder the terms: 8a + 4b + -4b + 2c + d = 10 + -4b Combine like terms: 4b + -4b = 0 8a + 0 + 2c + d = 10 + -4b 8a + 2c + d = 10 + -4b Add '-2c' to each side of the equation. 8a + 2c + -2c + d = 10 + -4b + -2c Combine like terms: 2c + -2c = 0 8a + 0 + d = 10 + -4b + -2c 8a + d = 10 + -4b + -2c Add '-1d' to each side of the equation. 8a + d + -1d = 10 + -4b + -2c + -1d Combine like terms: d + -1d = 0 8a + 0 = 10 + -4b + -2c + -1d 8a = 10 + -4b + -2c + -1d Divide each side by '8'. a = 1.25 + -0.5b + -0.25c + -0.125d Simplifying a = 1.25 + -0.5b + -0.25c + -0.125d
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