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Simplifying 10a + 8b + 4c + -8d = 7 Solving 10a + 8b + 4c + -8d = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 10a + 8b + 4c + -8b + -8d = 7 + -8b Reorder the terms: 10a + 8b + -8b + 4c + -8d = 7 + -8b Combine like terms: 8b + -8b = 0 10a + 0 + 4c + -8d = 7 + -8b 10a + 4c + -8d = 7 + -8b Add '-4c' to each side of the equation. 10a + 4c + -4c + -8d = 7 + -8b + -4c Combine like terms: 4c + -4c = 0 10a + 0 + -8d = 7 + -8b + -4c 10a + -8d = 7 + -8b + -4c Add '8d' to each side of the equation. 10a + -8d + 8d = 7 + -8b + -4c + 8d Combine like terms: -8d + 8d = 0 10a + 0 = 7 + -8b + -4c + 8d 10a = 7 + -8b + -4c + 8d Divide each side by '10'. a = 0.7 + -0.8b + -0.4c + 0.8d Simplifying a = 0.7 + -0.8b + -0.4c + 0.8d
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