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Simplifying 8a + 2b + c = -47 Solving 8a + 2b + c = -47 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 8a + 2b + -2b + c = -47 + -2b Combine like terms: 2b + -2b = 0 8a + 0 + c = -47 + -2b 8a + c = -47 + -2b Add '-1c' to each side of the equation. 8a + c + -1c = -47 + -2b + -1c Combine like terms: c + -1c = 0 8a + 0 = -47 + -2b + -1c 8a = -47 + -2b + -1c Divide each side by '8'. a = -5.875 + -0.25b + -0.125c Simplifying a = -5.875 + -0.25b + -0.125c
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