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Simplifying 4abs(x + -8) + 10 = 2 Reorder the terms: 4abs(-8 + x) + 10 = 2 (-8 * 4abs + x * 4abs) + 10 = 2 (-32abs + 4absx) + 10 = 2 Reorder the terms: 10 + -32abs + 4absx = 2 Solving 10 + -32abs + 4absx = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -32abs + -10 + 4absx = 2 + -10 Reorder the terms: 10 + -10 + -32abs + 4absx = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -32abs + 4absx = 2 + -10 -32abs + 4absx = 2 + -10 Combine like terms: 2 + -10 = -8 -32abs + 4absx = -8 Reorder the terms: 8 + -32abs + 4absx = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -32abs + 4absx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -8abs + absx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -8abs + absx)' equal to zero and attempt to solve: Simplifying 2 + -8abs + absx = 0 Solving 2 + -8abs + 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 + -8abs + -2 + absx = 0 + -2 Reorder the terms: 2 + -2 + -8abs + absx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -8abs + absx = 0 + -2 -8abs + absx = 0 + -2 Combine like terms: 0 + -2 = -2 -8abs + 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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