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Simplifying 4 + -9(5b + -5) * 9(-7 + -6n) + 35 = 0 Reorder the terms: 4 + -9(-5 + 5b) * 9(-7 + -6n) + 35 = 0 Reorder the terms for easier multiplication: 4 + -9 * 9(-5 + 5b)(-7 + -6n) + 35 = 0 Multiply -9 * 9 4 + -81(-5 + 5b)(-7 + -6n) + 35 = 0 Multiply (-5 + 5b) * (-7 + -6n) 4 + -81(-5(-7 + -6n) + 5b * (-7 + -6n)) + 35 = 0 4 + -81((-7 * -5 + -6n * -5) + 5b * (-7 + -6n)) + 35 = 0 4 + -81((35 + 30n) + 5b * (-7 + -6n)) + 35 = 0 4 + -81(35 + 30n + (-7 * 5b + -6n * 5b)) + 35 = 0 4 + -81(35 + 30n + (-35b + -30bn)) + 35 = 0 Reorder the terms: 4 + -81(35 + -35b + -30bn + 30n) + 35 = 0 4 + -81(35 + -35b + -30bn + 30n) + 35 = 0 4 + (35 * -81 + -35b * -81 + -30bn * -81 + 30n * -81) + 35 = 0 4 + (-2835 + 2835b + 2430bn + -2430n) + 35 = 0 Reorder the terms: 4 + -2835 + 35 + 2835b + 2430bn + -2430n = 0 Combine like terms: 4 + -2835 = -2831 -2831 + 35 + 2835b + 2430bn + -2430n = 0 Combine like terms: -2831 + 35 = -2796 -2796 + 2835b + 2430bn + -2430n = 0 Solving -2796 + 2835b + 2430bn + -2430n = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2796' to each side of the equation. -2796 + 2835b + 2430bn + 2796 + -2430n = 0 + 2796 Reorder the terms: -2796 + 2796 + 2835b + 2430bn + -2430n = 0 + 2796 Combine like terms: -2796 + 2796 = 0 0 + 2835b + 2430bn + -2430n = 0 + 2796 2835b + 2430bn + -2430n = 0 + 2796 Combine like terms: 0 + 2796 = 2796 2835b + 2430bn + -2430n = 2796 Add '2430n' to each side of the equation. 2835b + 2430bn + -2430n + 2430n = 2796 + 2430n Combine like terms: -2430n + 2430n = 0 2835b + 2430bn + 0 = 2796 + 2430n 2835b + 2430bn = 2796 + 2430n Reorder the terms: -2796 + 2835b + 2430bn + -2430n = 2796 + 2430n + -2796 + -2430n Reorder the terms: -2796 + 2835b + 2430bn + -2430n = 2796 + -2796 + 2430n + -2430n Combine like terms: 2796 + -2796 = 0 -2796 + 2835b + 2430bn + -2430n = 0 + 2430n + -2430n -2796 + 2835b + 2430bn + -2430n = 2430n + -2430n Combine like terms: 2430n + -2430n = 0 -2796 + 2835b + 2430bn + -2430n = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-932 + 945b + 810bn + -810n) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-932 + 945b + 810bn + -810n)' equal to zero and attempt to solve: Simplifying -932 + 945b + 810bn + -810n = 0 Solving -932 + 945b + 810bn + -810n = 0 Move all terms containing b to the left, all other terms to the right. Add '932' to each side of the equation. -932 + 945b + 810bn + 932 + -810n = 0 + 932 Reorder the terms: -932 + 932 + 945b + 810bn + -810n = 0 + 932 Combine like terms: -932 + 932 = 0 0 + 945b + 810bn + -810n = 0 + 932 945b + 810bn + -810n = 0 + 932 Combine like terms: 0 + 932 = 932 945b + 810bn + -810n = 932 Add '810n' to each side of the equation. 945b + 810bn + -810n + 810n = 932 + 810n Combine like terms: -810n + 810n = 0 945b + 810bn + 0 = 932 + 810n 945b + 810bn = 932 + 810n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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