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Simplifying 3d + -2c + -4bc + 2d + 3cb + 5d + (-2c) = 0 Reorder the terms: -4bc + 3bc + -2c + (-2c) + 3d + 2d + 5d = 0 Combine like terms: -4bc + 3bc = -1bc -1bc + -2c + (-2c) + 3d + 2d + 5d = 0 Combine like terms: -2c + (-2c) = -4c -1bc + -4c + 3d + 2d + 5d = 0 Combine like terms: 3d + 2d = 5d -1bc + -4c + 5d + 5d = 0 Combine like terms: 5d + 5d = 10d -1bc + -4c + 10d = 0 Solving -1bc + -4c + 10d = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4c' to each side of the equation. -1bc + -4c + 4c + 10d = 0 + 4c Combine like terms: -4c + 4c = 0 -1bc + 0 + 10d = 0 + 4c -1bc + 10d = 0 + 4c Remove the zero: -1bc + 10d = 4c Add '-10d' to each side of the equation. -1bc + 10d + -10d = 4c + -10d Combine like terms: 10d + -10d = 0 -1bc + 0 = 4c + -10d -1bc = 4c + -10d Divide each side by '-1c'. b = -4 + 10c-1d Simplifying b = -4 + 10c-1d
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