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Simplifying 8A + 20B = 100forA Solving 8A + 20B = 100forA Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-100forA' to each side of the equation. 8A + 20B + -100forA = 100forA + -100forA Combine like terms: 100forA + -100forA = 0 8A + 20B + -100forA = 0 Add '-20B' to each side of the equation. 8A + 20B + -20B + -100forA = 0 + -20B Combine like terms: 20B + -20B = 0 8A + 0 + -100forA = 0 + -20B 8A + -100forA = 0 + -20B Remove the zero: 8A + -100forA = -20B Reorder the terms: 8A + 20B + -100forA = -20B + 20B Combine like terms: -20B + 20B = 0 8A + 20B + -100forA = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2A + 5B + -25forA) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2A + 5B + -25forA)' equal to zero and attempt to solve: Simplifying 2A + 5B + -25forA = 0 Solving 2A + 5B + -25forA = 0 Move all terms containing A to the left, all other terms to the right. Add '-5B' to each side of the equation. 2A + 5B + -5B + -25forA = 0 + -5B Combine like terms: 5B + -5B = 0 2A + 0 + -25forA = 0 + -5B 2A + -25forA = 0 + -5B Remove the zero: 2A + -25forA = -5B 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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