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Simplifying AbsVal[4x + 4] = 8x + 16 Reorder the terms: ablsAV[4 + 4x] = 8x + 16 [4 * ablsAV + 4x * ablsAV] = 8x + 16 [4ablsAV + 4ablsxAV] = 8x + 16 Reorder the terms: 4ablsAV + 4ablsxAV = 16 + 8x Solving 4ablsAV + 4ablsxAV = 16 + 8x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Reorder the terms: -16 + 4ablsAV + 4ablsxAV + -8x = 16 + 8x + -16 + -8x Reorder the terms: -16 + 4ablsAV + 4ablsxAV + -8x = 16 + -16 + 8x + -8x Combine like terms: 16 + -16 = 0 -16 + 4ablsAV + 4ablsxAV + -8x = 0 + 8x + -8x -16 + 4ablsAV + 4ablsxAV + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 -16 + 4ablsAV + 4ablsxAV + -8x = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-4 + ablsAV + ablsxAV + -2x) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-4 + ablsAV + ablsxAV + -2x)' equal to zero and attempt to solve: Simplifying -4 + ablsAV + ablsxAV + -2x = 0 Solving -4 + ablsAV + ablsxAV + -2x = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + ablsAV + ablsxAV + 4 + -2x = 0 + 4 Reorder the terms: -4 + 4 + ablsAV + ablsxAV + -2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + ablsAV + ablsxAV + -2x = 0 + 4 ablsAV + ablsxAV + -2x = 0 + 4 Combine like terms: 0 + 4 = 4 ablsAV + ablsxAV + -2x = 4 Add '2x' to each side of the equation. ablsAV + ablsxAV + -2x + 2x = 4 + 2x Combine like terms: -2x + 2x = 0 ablsAV + ablsxAV + 0 = 4 + 2x ablsAV + ablsxAV = 4 + 2x 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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