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Simplifying 12(x + y) * g = 500 Reorder the terms for easier multiplication: 12g(x + y) = 500 (x * 12g + y * 12g) = 500 (12gx + 12gy) = 500 Solving 12gx + 12gy = 500 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -500 + 12gx + 12gy = 500 + -500 Combine like terms: 500 + -500 = 0 -500 + 12gx + 12gy = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-125 + 3gx + 3gy) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-125 + 3gx + 3gy)' equal to zero and attempt to solve: Simplifying -125 + 3gx + 3gy = 0 Solving -125 + 3gx + 3gy = 0 Move all terms containing g to the left, all other terms to the right. Add '125' to each side of the equation. -125 + 3gx + 125 + 3gy = 0 + 125 Reorder the terms: -125 + 125 + 3gx + 3gy = 0 + 125 Combine like terms: -125 + 125 = 0 0 + 3gx + 3gy = 0 + 125 3gx + 3gy = 0 + 125 Combine like terms: 0 + 125 = 125 3gx + 3gy = 125 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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