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Simplifying 2e(3x + -2) + 4 = 24 Reorder the terms: 2e(-2 + 3x) + 4 = 24 (-2 * 2e + 3x * 2e) + 4 = 24 (-4e + 6ex) + 4 = 24 Reorder the terms: 4 + -4e + 6ex = 24 Solving 4 + -4e + 6ex = 24 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4e + -4 + 6ex = 24 + -4 Reorder the terms: 4 + -4 + -4e + 6ex = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -4e + 6ex = 24 + -4 -4e + 6ex = 24 + -4 Combine like terms: 24 + -4 = 20 -4e + 6ex = 20 Reorder the terms: -20 + -4e + 6ex = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -4e + 6ex = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + -2e + 3ex) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + -2e + 3ex)' equal to zero and attempt to solve: Simplifying -10 + -2e + 3ex = 0 Solving -10 + -2e + 3ex = 0 Move all terms containing e to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -2e + 10 + 3ex = 0 + 10 Reorder the terms: -10 + 10 + -2e + 3ex = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2e + 3ex = 0 + 10 -2e + 3ex = 0 + 10 Combine like terms: 0 + 10 = 10 -2e + 3ex = 10 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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