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Simplifying 6g + 3kg = g Solving 6g + 3gk = g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1g' to each side of the equation. 6g + -1g + 3gk = g + -1g Combine like terms: 6g + -1g = 5g 5g + 3gk = g + -1g Combine like terms: g + -1g = 0 5g + 3gk = 0 Factor out the Greatest Common Factor (GCF), 'g'. g(5 + 3k) = 0Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(5 + 3k)' equal to zero and attempt to solve: Simplifying 5 + 3k = 0 Solving 5 + 3k = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = 0 + -5 3k = 0 + -5 Combine like terms: 0 + -5 = -5 3k = -5 Add '-3k' to each side of the equation. 3k + -3k = -5 + -3k Combine like terms: 3k + -3k = 0 0 = -5 + -3k Simplifying 0 = -5 + -3k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
g = {0}
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