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Simplifying abs(8x + 4) + 3 = 11 Reorder the terms: abs(4 + 8x) + 3 = 11 (4 * abs + 8x * abs) + 3 = 11 (4abs + 8absx) + 3 = 11 Reorder the terms: 3 + 4abs + 8absx = 11 Solving 3 + 4abs + 8absx = 11 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 + 4abs + -3 + 8absx = 11 + -3 Reorder the terms: 3 + -3 + 4abs + 8absx = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4abs + 8absx = 11 + -3 4abs + 8absx = 11 + -3 Combine like terms: 11 + -3 = 8 4abs + 8absx = 8 Reorder the terms: -8 + 4abs + 8absx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 4abs + 8absx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + abs + 2absx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + abs + 2absx)' equal to zero and attempt to solve: Simplifying -2 + abs + 2absx = 0 Solving -2 + abs + 2absx = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + abs + 2 + 2absx = 0 + 2 Reorder the terms: -2 + 2 + abs + 2absx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + abs + 2absx = 0 + 2 abs + 2absx = 0 + 2 Combine like terms: 0 + 2 = 2 abs + 2absx = 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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