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Simplifying -3b[2c + 4 + -5t + (-4c)] = 0 Reorder the terms: -3b[4 + 2c + (-4c) + -5t] = 0 Combine like terms: 2c + (-4c) = -2c -3b[4 + -2c + -5t] = 0 [4 * -3b + -2c * -3b + -5t * -3b] = 0 [-12b + 6bc + 15bt] = 0 Solving -12b + 6bc + 15bt = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3b'. 3b(-4 + 2c + 5t) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(-4 + 2c + 5t)' equal to zero and attempt to solve: Simplifying -4 + 2c + 5t = 0 Solving -4 + 2c + 5t = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2c + 4 + 5t = 0 + 4 Reorder the terms: -4 + 4 + 2c + 5t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2c + 5t = 0 + 4 2c + 5t = 0 + 4 Combine like terms: 0 + 4 = 4 2c + 5t = 4 Add '-2c' to each side of the equation. 2c + -2c + 5t = 4 + -2c Combine like terms: 2c + -2c = 0 0 + 5t = 4 + -2c 5t = 4 + -2c Add '-5t' to each side of the equation. 5t + -5t = 4 + -2c + -5t Combine like terms: 5t + -5t = 0 0 = 4 + -2c + -5t Simplifying 0 = 4 + -2c + -5t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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