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Simplifying (2cb + 4d) + -1(-8cb + -3d) + -1(ad + -1d) = 0 Remove parenthesis around (2bc + 4d) 2bc + 4d + -1(-8cb + -3d) + -1(ad + -1d) = 0 2bc + 4d + (-8bc * -1 + -3d * -1) + -1(ad + -1d) = 0 2bc + 4d + (8bc + 3d) + -1(ad + -1d) = 0 2bc + 4d + 8bc + 3d + (ad * -1 + -1d * -1) = 0 2bc + 4d + 8bc + 3d + (-1ad + 1d) = 0 Reorder the terms: -1ad + 2bc + 8bc + 4d + 3d + 1d = 0 Combine like terms: 2bc + 8bc = 10bc -1ad + 10bc + 4d + 3d + 1d = 0 Combine like terms: 4d + 3d = 7d -1ad + 10bc + 7d + 1d = 0 Combine like terms: 7d + 1d = 8d -1ad + 10bc + 8d = 0 Solving -1ad + 10bc + 8d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10bc' to each side of the equation. -1ad + 10bc + -10bc + 8d = 0 + -10bc Combine like terms: 10bc + -10bc = 0 -1ad + 0 + 8d = 0 + -10bc -1ad + 8d = 0 + -10bc Remove the zero: -1ad + 8d = -10bc Add '-8d' to each side of the equation. -1ad + 8d + -8d = -10bc + -8d Combine like terms: 8d + -8d = 0 -1ad + 0 = -10bc + -8d -1ad = -10bc + -8d Divide each side by '-1d'. a = 10bcd-1 + 8 Simplifying a = 10bcd-1 + 8 Reorder the terms: a = 8 + 10bcd-1
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