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Simplifying abs(6x + -8) + 3 = 7 Reorder the terms: abs(-8 + 6x) + 3 = 7 (-8 * abs + 6x * abs) + 3 = 7 (-8abs + 6absx) + 3 = 7 Reorder the terms: 3 + -8abs + 6absx = 7 Solving 3 + -8abs + 6absx = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -8abs + -3 + 6absx = 7 + -3 Reorder the terms: 3 + -3 + -8abs + 6absx = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -8abs + 6absx = 7 + -3 -8abs + 6absx = 7 + -3 Combine like terms: 7 + -3 = 4 -8abs + 6absx = 4 Reorder the terms: -4 + -8abs + 6absx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -8abs + 6absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -4abs + 3absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -4abs + 3absx)' equal to zero and attempt to solve: Simplifying -2 + -4abs + 3absx = 0 Solving -2 + -4abs + 3absx = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -4abs + 2 + 3absx = 0 + 2 Reorder the terms: -2 + 2 + -4abs + 3absx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4abs + 3absx = 0 + 2 -4abs + 3absx = 0 + 2 Combine like terms: 0 + 2 = 2 -4abs + 3absx = 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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