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Simplifying abs(5q + -4) = abs(4 + -5q) Reorder the terms: abs(-4 + 5q) = abs(4 + -5q) (-4 * abs + 5q * abs) = abs(4 + -5q) Reorder the terms: (5abqs + -4abs) = abs(4 + -5q) (5abqs + -4abs) = abs(4 + -5q) 5abqs + -4abs = (4 * abs + -5q * abs) Reorder the terms: 5abqs + -4abs = (-5abqs + 4abs) 5abqs + -4abs = (-5abqs + 4abs) Solving 5abqs + -4abs = -5abqs + 4abs Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5abqs' to each side of the equation. 5abqs + 5abqs + -4abs = -5abqs + 5abqs + 4abs Combine like terms: 5abqs + 5abqs = 10abqs 10abqs + -4abs = -5abqs + 5abqs + 4abs Combine like terms: -5abqs + 5abqs = 0 10abqs + -4abs = 0 + 4abs 10abqs + -4abs = 4abs Add '-4abs' to each side of the equation. 10abqs + -4abs + -4abs = 4abs + -4abs Combine like terms: -4abs + -4abs = -8abs 10abqs + -8abs = 4abs + -4abs Combine like terms: 4abs + -4abs = 0 10abqs + -8abs = 0 Factor out the Greatest Common Factor (GCF), '2abs'. 2abs(5q + -4) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'abs' equal to zero and attempt to solve: Simplifying abs = 0 Solving abs = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abs = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5q + -4)' equal to zero and attempt to solve: Simplifying 5q + -4 = 0 Reorder the terms: -4 + 5q = 0 Solving -4 + 5q = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5q = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5q = 0 + 4 5q = 0 + 4 Combine like terms: 0 + 4 = 4 5q = 4 Add '-5q' to each side of the equation. 5q + -5q = 4 + -5q Combine like terms: 5q + -5q = 0 0 = 4 + -5q Simplifying 0 = 4 + -5q 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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