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Simplifying 8 + 2abs(5 + -3x) = 6 8 + (5 * 2abs + -3x * 2abs) = 6 8 + (10abs + -6absx) = 6 Solving 8 + 10abs + -6absx = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 10abs + -8 + -6absx = 6 + -8 Reorder the terms: 8 + -8 + 10abs + -6absx = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 10abs + -6absx = 6 + -8 10abs + -6absx = 6 + -8 Combine like terms: 6 + -8 = -2 10abs + -6absx = -2 Reorder the terms: 2 + 10abs + -6absx = -2 + 2 Combine like terms: -2 + 2 = 0 2 + 10abs + -6absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + 5abs + -3absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + 5abs + -3absx)' equal to zero and attempt to solve: Simplifying 1 + 5abs + -3absx = 0 Solving 1 + 5abs + -3absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 5abs + -1 + -3absx = 0 + -1 Reorder the terms: 1 + -1 + 5abs + -3absx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5abs + -3absx = 0 + -1 5abs + -3absx = 0 + -1 Combine like terms: 0 + -1 = -1 5abs + -3absx = -1 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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