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Simplifying -9bcd + 10c + -4d + 3 = 3c + -5d + 7 Reorder the terms: 3 + -9bcd + 10c + -4d = 3c + -5d + 7 Reorder the terms: 3 + -9bcd + 10c + -4d = 7 + 3c + -5d Solving 3 + -9bcd + 10c + -4d = 7 + 3c + -5d Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -9bcd + 10c + -3 + -4d = 7 + 3c + -3 + -5d Reorder the terms: 3 + -3 + -9bcd + 10c + -4d = 7 + 3c + -3 + -5d Combine like terms: 3 + -3 = 0 0 + -9bcd + 10c + -4d = 7 + 3c + -3 + -5d -9bcd + 10c + -4d = 7 + 3c + -3 + -5d Reorder the terms: -9bcd + 10c + -4d = 7 + -3 + 3c + -5d Combine like terms: 7 + -3 = 4 -9bcd + 10c + -4d = 4 + 3c + -5d Add '-10c' to each side of the equation. -9bcd + 10c + -10c + -4d = 4 + 3c + -10c + -5d Combine like terms: 10c + -10c = 0 -9bcd + 0 + -4d = 4 + 3c + -10c + -5d -9bcd + -4d = 4 + 3c + -10c + -5d Combine like terms: 3c + -10c = -7c -9bcd + -4d = 4 + -7c + -5d Add '4d' to each side of the equation. -9bcd + -4d + 4d = 4 + -7c + -5d + 4d Combine like terms: -4d + 4d = 0 -9bcd + 0 = 4 + -7c + -5d + 4d -9bcd = 4 + -7c + -5d + 4d Combine like terms: -5d + 4d = -1d -9bcd = 4 + -7c + -1d Divide each side by '-9cd'. b = -0.4444444444c-1d-1 + 0.7777777778d-1 + 0.1111111111c-1 Simplifying b = -0.4444444444c-1d-1 + 0.7777777778d-1 + 0.1111111111c-1 Reorder the terms: b = 0.1111111111c-1 + -0.4444444444c-1d-1 + 0.7777777778d-1
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