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Simplifying abs(9x + 3) + 14 = 5 Reorder the terms: abs(3 + 9x) + 14 = 5 (3 * abs + 9x * abs) + 14 = 5 (3abs + 9absx) + 14 = 5 Reorder the terms: 14 + 3abs + 9absx = 5 Solving 14 + 3abs + 9absx = 5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 3abs + -14 + 9absx = 5 + -14 Reorder the terms: 14 + -14 + 3abs + 9absx = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 3abs + 9absx = 5 + -14 3abs + 9absx = 5 + -14 Combine like terms: 5 + -14 = -9 3abs + 9absx = -9 Reorder the terms: 9 + 3abs + 9absx = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 3abs + 9absx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + abs + 3absx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + abs + 3absx)' equal to zero and attempt to solve: Simplifying 3 + abs + 3absx = 0 Solving 3 + abs + 3absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + abs + -3 + 3absx = 0 + -3 Reorder the terms: 3 + -3 + abs + 3absx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + abs + 3absx = 0 + -3 abs + 3absx = 0 + -3 Combine like terms: 0 + -3 = -3 abs + 3absx = -3 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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