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Simplifying 4e(3x + -2) + 6 = 30 Reorder the terms: 4e(-2 + 3x) + 6 = 30 (-2 * 4e + 3x * 4e) + 6 = 30 (-8e + 12ex) + 6 = 30 Reorder the terms: 6 + -8e + 12ex = 30 Solving 6 + -8e + 12ex = 30 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -8e + -6 + 12ex = 30 + -6 Reorder the terms: 6 + -6 + -8e + 12ex = 30 + -6 Combine like terms: 6 + -6 = 0 0 + -8e + 12ex = 30 + -6 -8e + 12ex = 30 + -6 Combine like terms: 30 + -6 = 24 -8e + 12ex = 24 Reorder the terms: -24 + -8e + 12ex = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + -8e + 12ex = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + -2e + 3ex) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + -2e + 3ex)' equal to zero and attempt to solve: Simplifying -6 + -2e + 3ex = 0 Solving -6 + -2e + 3ex = 0 Move all terms containing e to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2e + 6 + 3ex = 0 + 6 Reorder the terms: -6 + 6 + -2e + 3ex = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2e + 3ex = 0 + 6 -2e + 3ex = 0 + 6 Combine like terms: 0 + 6 = 6 -2e + 3ex = 6 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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