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Simplifying 2ab + 2ac + 2bc = 58 Solving 2ab + 2ac + 2bc = 58 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 = 58 + -2bc Combine like terms: 2bc + -2bc = 0 2ab + 2ac + 0 = 58 + -2bc 2ab + 2ac = 58 + -2bc Reorder the terms: -58 + 2ab + 2ac + 2bc = 58 + -2bc + -58 + 2bc Reorder the terms: -58 + 2ab + 2ac + 2bc = 58 + -58 + -2bc + 2bc Combine like terms: 58 + -58 = 0 -58 + 2ab + 2ac + 2bc = 0 + -2bc + 2bc -58 + 2ab + 2ac + 2bc = -2bc + 2bc Combine like terms: -2bc + 2bc = 0 -58 + 2ab + 2ac + 2bc = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-29 + ab + ac + bc) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-29 + ab + ac + bc)' equal to zero and attempt to solve: Simplifying -29 + ab + ac + bc = 0 Solving -29 + ab + ac + bc = 0 Move all terms containing a to the left, all other terms to the right. Add '29' to each side of the equation. -29 + ab + ac + 29 + bc = 0 + 29 Reorder the terms: -29 + 29 + ab + ac + bc = 0 + 29 Combine like terms: -29 + 29 = 0 0 + ab + ac + bc = 0 + 29 ab + ac + bc = 0 + 29 Combine like terms: 0 + 29 = 29 ab + ac + bc = 29 Add '-1bc' to each side of the equation. ab + ac + bc + -1bc = 29 + -1bc Combine like terms: bc + -1bc = 0 ab + ac + 0 = 29 + -1bc ab + ac = 29 + -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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