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Simplifying abs(3x + -6) + 9 = 12 Reorder the terms: abs(-6 + 3x) + 9 = 12 (-6 * abs + 3x * abs) + 9 = 12 (-6abs + 3absx) + 9 = 12 Reorder the terms: 9 + -6abs + 3absx = 12 Solving 9 + -6abs + 3absx = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -6abs + -9 + 3absx = 12 + -9 Reorder the terms: 9 + -9 + -6abs + 3absx = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -6abs + 3absx = 12 + -9 -6abs + 3absx = 12 + -9 Combine like terms: 12 + -9 = 3 -6abs + 3absx = 3 Reorder the terms: -3 + -6abs + 3absx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -6abs + 3absx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -2abs + absx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -2abs + absx)' equal to zero and attempt to solve: Simplifying -1 + -2abs + absx = 0 Solving -1 + -2abs + absx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2abs + 1 + absx = 0 + 1 Reorder the terms: -1 + 1 + -2abs + absx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2abs + absx = 0 + 1 -2abs + absx = 0 + 1 Combine like terms: 0 + 1 = 1 -2abs + absx = 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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