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Simplifying 4(abs(-6x + -7)) + -8 = 12 Reorder the terms: 4(abs(-7 + -6x)) + -8 = 12 4((-7 * abs + -6x * abs)) + -8 = 12 4((-7abs + -6absx)) + -8 = 12 (-7abs * 4 + -6absx * 4) + -8 = 12 (-28abs + -24absx) + -8 = 12 Reorder the terms: -8 + -28abs + -24absx = 12 Solving -8 + -28abs + -24absx = 12 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 + -28abs + 8 + -24absx = 12 + 8 Reorder the terms: -8 + 8 + -28abs + -24absx = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -28abs + -24absx = 12 + 8 -28abs + -24absx = 12 + 8 Combine like terms: 12 + 8 = 20 -28abs + -24absx = 20 Reorder the terms: -20 + -28abs + -24absx = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + -28abs + -24absx = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(5 + 7abs + 6absx) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(5 + 7abs + 6absx)' equal to zero and attempt to solve: Simplifying 5 + 7abs + 6absx = 0 Solving 5 + 7abs + 6absx = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 7abs + -5 + 6absx = 0 + -5 Reorder the terms: 5 + -5 + 7abs + 6absx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7abs + 6absx = 0 + -5 7abs + 6absx = 0 + -5 Combine like terms: 0 + -5 = -5 7abs + 6absx = -5 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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