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Simplifying 4e(2x + -1) + -1 = 5 Reorder the terms: 4e(-1 + 2x) + -1 = 5 (-1 * 4e + 2x * 4e) + -1 = 5 (-4e + 8ex) + -1 = 5 Reorder the terms: -1 + -4e + 8ex = 5 Solving -1 + -4e + 8ex = 5 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -4e + 1 + 8ex = 5 + 1 Reorder the terms: -1 + 1 + -4e + 8ex = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -4e + 8ex = 5 + 1 -4e + 8ex = 5 + 1 Combine like terms: 5 + 1 = 6 -4e + 8ex = 6 Reorder the terms: -6 + -4e + 8ex = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -4e + 8ex = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -2e + 4ex) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -2e + 4ex)' equal to zero and attempt to solve: Simplifying -3 + -2e + 4ex = 0 Solving -3 + -2e + 4ex = 0 Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2e + 3 + 4ex = 0 + 3 Reorder the terms: -3 + 3 + -2e + 4ex = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2e + 4ex = 0 + 3 -2e + 4ex = 0 + 3 Combine like terms: 0 + 3 = 3 -2e + 4ex = 3 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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