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Simplifying -10et + 15 = 5(19 + -6e) Reorder the terms: 15 + -10et = 5(19 + -6e) 15 + -10et = (19 * 5 + -6e * 5) 15 + -10et = (95 + -30e) Solving 15 + -10et = 95 + -30e Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '30e' to each side of the equation. 15 + 30e + -10et = 95 + -30e + 30e Combine like terms: -30e + 30e = 0 15 + 30e + -10et = 95 + 0 15 + 30e + -10et = 95 Add '-15' to each side of the equation. 15 + 30e + -15 + -10et = 95 + -15 Reorder the terms: 15 + -15 + 30e + -10et = 95 + -15 Combine like terms: 15 + -15 = 0 0 + 30e + -10et = 95 + -15 30e + -10et = 95 + -15 Combine like terms: 95 + -15 = 80 30e + -10et = 80 Reorder the terms: -80 + 30e + -10et = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + 30e + -10et = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-8 + 3e + -1et) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-8 + 3e + -1et)' equal to zero and attempt to solve: Simplifying -8 + 3e + -1et = 0 Solving -8 + 3e + -1et = 0 Move all terms containing e to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3e + 8 + -1et = 0 + 8 Reorder the terms: -8 + 8 + 3e + -1et = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3e + -1et = 0 + 8 3e + -1et = 0 + 8 Combine like terms: 0 + 8 = 8 3e + -1et = 8 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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