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Simplifying abs(8x + -10) + 4 = 8 Reorder the terms: abs(-10 + 8x) + 4 = 8 (-10 * abs + 8x * abs) + 4 = 8 (-10abs + 8absx) + 4 = 8 Reorder the terms: 4 + -10abs + 8absx = 8 Solving 4 + -10abs + 8absx = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -10abs + -4 + 8absx = 8 + -4 Reorder the terms: 4 + -4 + -10abs + 8absx = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -10abs + 8absx = 8 + -4 -10abs + 8absx = 8 + -4 Combine like terms: 8 + -4 = 4 -10abs + 8absx = 4 Reorder the terms: -4 + -10abs + 8absx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -10abs + 8absx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -5abs + 4absx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -5abs + 4absx)' equal to zero and attempt to solve: Simplifying -2 + -5abs + 4absx = 0 Solving -2 + -5abs + 4absx = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -5abs + 2 + 4absx = 0 + 2 Reorder the terms: -2 + 2 + -5abs + 4absx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5abs + 4absx = 0 + 2 -5abs + 4absx = 0 + 2 Combine like terms: 0 + 2 = 2 -5abs + 4absx = 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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