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Simplifying -8 = lx + 2l + -8 Reorder the terms: -8 = -8 + 2l + lx Add '8' to each side of the equation. -8 + 8 = -8 + 2l + 8 + lx Combine like terms: -8 + 8 = 0 0 = -8 + 2l + 8 + lx Reorder the terms: 0 = -8 + 8 + 2l + lx Combine like terms: -8 + 8 = 0 0 = 0 + 2l + lx 0 = 2l + lx Solving 0 = 2l + lx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2l' to each side of the equation. 0 + -2l = 2l + -2l + lx Remove the zero: -2l = 2l + -2l + lx Combine like terms: 2l + -2l = 0 -2l = 0 + lx -2l = lx Add '-1lx' to each side of the equation. -2l + -1lx = lx + -1lx Combine like terms: lx + -1lx = 0 -2l + -1lx = 0 Factor out the Greatest Common Factor (GCF), '-1l'. -1l(2 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'l' equal to zero and attempt to solve: Simplifying l = 0 Solving l = 0 Move all terms containing l to the left, all other terms to the right. Simplifying l = 0Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
l = {0}
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