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Simplifying abs(-9x + -7) + -8 = 18 Reorder the terms: abs(-7 + -9x) + -8 = 18 (-7 * abs + -9x * abs) + -8 = 18 (-7abs + -9absx) + -8 = 18 Reorder the terms: -8 + -7abs + -9absx = 18 Solving -8 + -7abs + -9absx = 18 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -7abs + 8 + -9absx = 18 + 8 Reorder the terms: -8 + 8 + -7abs + -9absx = 18 + 8 Combine like terms: -8 + 8 = 0 0 + -7abs + -9absx = 18 + 8 -7abs + -9absx = 18 + 8 Combine like terms: 18 + 8 = 26 -7abs + -9absx = 26 Reorder the terms: -26 + -7abs + -9absx = 26 + -26 Combine like terms: 26 + -26 = 0 -26 + -7abs + -9absx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(26 + 7abs + 9absx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(26 + 7abs + 9absx)' equal to zero and attempt to solve: Simplifying 26 + 7abs + 9absx = 0 Solving 26 + 7abs + 9absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + 7abs + -26 + 9absx = 0 + -26 Reorder the terms: 26 + -26 + 7abs + 9absx = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 7abs + 9absx = 0 + -26 7abs + 9absx = 0 + -26 Combine like terms: 0 + -26 = -26 7abs + 9absx = -26 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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