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