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Simplifying 6q + 3q + -1q = 24findq Combine like terms: 6q + 3q = 9q 9q + -1q = 24findq Combine like terms: 9q + -1q = 8q 8q = 24findq Solving 8q = 24dfinq Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-24dfinq' to each side of the equation. -24dfinq + 8q = 24dfinq + -24dfinq Combine like terms: 24dfinq + -24dfinq = 0 -24dfinq + 8q = 0 Factor out the Greatest Common Factor (GCF), '8q'. 8q(-3dfin + 1) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q = 0Subproblem 2
Set the factor '(-3dfin + 1)' equal to zero and attempt to solve: Simplifying -3dfin + 1 = 0 Reorder the terms: 1 + -3dfin = 0 Solving 1 + -3dfin = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3dfin = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3dfin = 0 + -1 -3dfin = 0 + -1 Combine like terms: 0 + -1 = -1 -3dfin = -1 Add '3dfin' to each side of the equation. -3dfin + 3dfin = -1 + 3dfin Combine like terms: -3dfin + 3dfin = 0 0 = -1 + 3dfin Simplifying 0 = -1 + 3dfin The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
q = {0}
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