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Simplifying 8(2d + -3) * b = 3(4d + -7) Reorder the terms: 8(-3 + 2d) * b = 3(4d + -7) Reorder the terms for easier multiplication: 8b(-3 + 2d) = 3(4d + -7) (-3 * 8b + 2d * 8b) = 3(4d + -7) (-24b + 16bd) = 3(4d + -7) Reorder the terms: -24b + 16bd = 3(-7 + 4d) -24b + 16bd = (-7 * 3 + 4d * 3) -24b + 16bd = (-21 + 12d) Solving -24b + 16bd = -21 + 12d Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Reorder the terms: 21 + -24b + 16bd + -12d = -21 + 12d + 21 + -12d Reorder the terms: 21 + -24b + 16bd + -12d = -21 + 21 + 12d + -12d Combine like terms: -21 + 21 = 0 21 + -24b + 16bd + -12d = 0 + 12d + -12d 21 + -24b + 16bd + -12d = 12d + -12d Combine like terms: 12d + -12d = 0 21 + -24b + 16bd + -12d = 0 The solution to this equation could not be determined.
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