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Simplifying 9 + -3abs(x + 2) = 15 Reorder the terms: 9 + -3abs(2 + x) = 15 9 + (2 * -3abs + x * -3abs) = 15 9 + (-6abs + -3absx) = 15 Solving 9 + -6abs + -3absx = 15 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 = 15 + -9 Reorder the terms: 9 + -9 + -6abs + -3absx = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -6abs + -3absx = 15 + -9 -6abs + -3absx = 15 + -9 Combine like terms: 15 + -9 = 6 -6abs + -3absx = 6 Reorder the terms: -6 + -6abs + -3absx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -6abs + -3absx = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(2 + 2abs + absx) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(2 + 2abs + absx)' equal to zero and attempt to solve: Simplifying 2 + 2abs + absx = 0 Solving 2 + 2abs + absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2abs + -2 + absx = 0 + -2 Reorder the terms: 2 + -2 + 2abs + absx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2abs + absx = 0 + -2 2abs + absx = 0 + -2 Combine like terms: 0 + -2 = -2 2abs + absx = -2 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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