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Simplifying -8 + -6abs(5x + 6) = -38 Reorder the terms: -8 + -6abs(6 + 5x) = -38 -8 + (6 * -6abs + 5x * -6abs) = -38 -8 + (-36abs + -30absx) = -38 Solving -8 + -36abs + -30absx = -38 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 + -36abs + 8 + -30absx = -38 + 8 Reorder the terms: -8 + 8 + -36abs + -30absx = -38 + 8 Combine like terms: -8 + 8 = 0 0 + -36abs + -30absx = -38 + 8 -36abs + -30absx = -38 + 8 Combine like terms: -38 + 8 = -30 -36abs + -30absx = -30 Reorder the terms: 30 + -36abs + -30absx = -30 + 30 Combine like terms: -30 + 30 = 0 30 + -36abs + -30absx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(5 + -6abs + -5absx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(5 + -6abs + -5absx)' equal to zero and attempt to solve: Simplifying 5 + -6abs + -5absx = 0 Solving 5 + -6abs + -5absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -6abs + -5 + -5absx = 0 + -5 Reorder the terms: 5 + -5 + -6abs + -5absx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6abs + -5absx = 0 + -5 -6abs + -5absx = 0 + -5 Combine like terms: 0 + -5 = -5 -6abs + -5absx = -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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