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Simplifying 2ab + 2bc + 2ac = 96 Reorder the terms: 2ab + 2ac + 2bc = 96 Solving 2ab + 2ac + 2bc = 96 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2bc' to each side of the equation. 2ab + 2ac + 2bc + -2bc = 96 + -2bc Combine like terms: 2bc + -2bc = 0 2ab + 2ac + 0 = 96 + -2bc 2ab + 2ac = 96 + -2bc Reorder the terms: -96 + 2ab + 2ac + 2bc = 96 + -2bc + -96 + 2bc Reorder the terms: -96 + 2ab + 2ac + 2bc = 96 + -96 + -2bc + 2bc Combine like terms: 96 + -96 = 0 -96 + 2ab + 2ac + 2bc = 0 + -2bc + 2bc -96 + 2ab + 2ac + 2bc = -2bc + 2bc Combine like terms: -2bc + 2bc = 0 -96 + 2ab + 2ac + 2bc = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-48 + ab + ac + bc) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-48 + ab + ac + bc)' equal to zero and attempt to solve: Simplifying -48 + ab + ac + bc = 0 Solving -48 + ab + ac + bc = 0 Move all terms containing a to the left, all other terms to the right. Add '48' to each side of the equation. -48 + ab + ac + 48 + bc = 0 + 48 Reorder the terms: -48 + 48 + ab + ac + bc = 0 + 48 Combine like terms: -48 + 48 = 0 0 + ab + ac + bc = 0 + 48 ab + ac + bc = 0 + 48 Combine like terms: 0 + 48 = 48 ab + ac + bc = 48 Add '-1bc' to each side of the equation. ab + ac + bc + -1bc = 48 + -1bc Combine like terms: bc + -1bc = 0 ab + ac + 0 = 48 + -1bc ab + ac = 48 + -1bc 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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