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Simplifying 16pe(y + 8) = 12pe + -16y Reorder the terms: 16ep(8 + y) = 12pe + -16y (8 * 16ep + y * 16ep) = 12pe + -16y (128ep + 16epy) = 12pe + -16y Solving 128ep + 16epy = 12ep + -16y Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-12ep' to each side of the equation. 128ep + -12ep + 16epy = 12ep + -12ep + -16y Combine like terms: 128ep + -12ep = 116ep 116ep + 16epy = 12ep + -12ep + -16y Combine like terms: 12ep + -12ep = 0 116ep + 16epy = 0 + -16y 116ep + 16epy = -16y Combine like terms: -16y + 16y = 0 116ep + 16epy + 16y = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(29ep + 4epy + 4y) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(29ep + 4epy + 4y)' equal to zero and attempt to solve: Simplifying 29ep + 4epy + 4y = 0 Solving 29ep + 4epy + 4y = 0 Move all terms containing e to the left, all other terms to the right. Add '-4y' to each side of the equation. 29ep + 4epy + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 29ep + 4epy + 0 = 0 + -4y 29ep + 4epy = 0 + -4y Remove the zero: 29ep + 4epy = -4y 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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