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Simplifying 7ab = 2ac Solving 7ab = 2ac Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2ac' to each side of the equation. 7ab + -2ac = 2ac + -2ac Combine like terms: 2ac + -2ac = 0 7ab + -2ac = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(7b + -2c) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(7b + -2c)' equal to zero and attempt to solve: Simplifying 7b + -2c = 0 Solving 7b + -2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 7b + -7b + -2c = 0 + -7b Combine like terms: 7b + -7b = 0 0 + -2c = 0 + -7b -2c = 0 + -7b Remove the zero: -2c = -7b Add '2c' to each side of the equation. -2c + 2c = -7b + 2c Combine like terms: -2c + 2c = 0 0 = -7b + 2c Simplifying 0 = -7b + 2c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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