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Simplifying 2abs(4x + -1) + 5 = 15 Reorder the terms: 2abs(-1 + 4x) + 5 = 15 (-1 * 2abs + 4x * 2abs) + 5 = 15 (-2abs + 8absx) + 5 = 15 Reorder the terms: 5 + -2abs + 8absx = 15 Solving 5 + -2abs + 8absx = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -2abs + -5 + 8absx = 15 + -5 Reorder the terms: 5 + -5 + -2abs + 8absx = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -2abs + 8absx = 15 + -5 -2abs + 8absx = 15 + -5 Combine like terms: 15 + -5 = 10 -2abs + 8absx = 10 Reorder the terms: -10 + -2abs + 8absx = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -2abs + 8absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -1abs + 4absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1abs + 4absx)' equal to zero and attempt to solve: Simplifying -5 + -1abs + 4absx = 0 Solving -5 + -1abs + 4absx = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1abs + 5 + 4absx = 0 + 5 Reorder the terms: -5 + 5 + -1abs + 4absx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1abs + 4absx = 0 + 5 -1abs + 4absx = 0 + 5 Combine like terms: 0 + 5 = 5 -1abs + 4absx = 5 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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