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Simplifying 3(2j + -1k) = 108forj (2j * 3 + -1k * 3) = 108forj (6j + -3k) = 108forj Solving 6j + -3k = 108fjor Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-108fjor' to each side of the equation. 6j + -108fjor + -3k = 108fjor + -108fjor Reorder the terms: -108fjor + 6j + -3k = 108fjor + -108fjor Combine like terms: 108fjor + -108fjor = 0 -108fjor + 6j + -3k = 0 Add '3k' to each side of the equation. -108fjor + 6j + -3k + 3k = 0 + 3k Combine like terms: -3k + 3k = 0 -108fjor + 6j + 0 = 0 + 3k -108fjor + 6j = 0 + 3k Remove the zero: -108fjor + 6j = 3k Combine like terms: 3k + -3k = 0 -108fjor + 6j + -3k = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-36fjor + 2j + -1k) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-36fjor + 2j + -1k)' equal to zero and attempt to solve: Simplifying -36fjor + 2j + -1k = 0 Solving -36fjor + 2j + -1k = 0 Move all terms containing j to the left, all other terms to the right. Add 'k' to each side of the equation. -36fjor + 2j + -1k + k = 0 + k Combine like terms: -1k + k = 0 -36fjor + 2j + 0 = 0 + k -36fjor + 2j = 0 + k Remove the zero: -36fjor + 2j = k 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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