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Simplifying c + m + a(d) + v = 112 Multiply a * d c + m + ad + v = 112 Reorder the terms: ad + c + m + v = 112 Solving ad + c + m + v = 112 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1c' to each side of the equation. ad + c + m + -1c + v = 112 + -1c Reorder the terms: ad + c + -1c + m + v = 112 + -1c Combine like terms: c + -1c = 0 ad + 0 + m + v = 112 + -1c ad + m + v = 112 + -1c Add '-1m' to each side of the equation. ad + m + -1m + v = 112 + -1c + -1m Combine like terms: m + -1m = 0 ad + 0 + v = 112 + -1c + -1m ad + v = 112 + -1c + -1m Add '-1v' to each side of the equation. ad + v + -1v = 112 + -1c + -1m + -1v Combine like terms: v + -1v = 0 ad + 0 = 112 + -1c + -1m + -1v ad = 112 + -1c + -1m + -1v Divide each side by 'd'. a = 112d-1 + -1cd-1 + -1d-1m + -1d-1v Simplifying a = 112d-1 + -1cd-1 + -1d-1m + -1d-1v Reorder the terms: a = -1cd-1 + 112d-1 + -1d-1m + -1d-1v
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