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Simplifying abs(5w + 8) = abs(5w + 7) Reorder the terms: abs(8 + 5w) = abs(5w + 7) (8 * abs + 5w * abs) = abs(5w + 7) (8abs + 5absw) = abs(5w + 7) Reorder the terms: 8abs + 5absw = abs(7 + 5w) 8abs + 5absw = (7 * abs + 5w * abs) 8abs + 5absw = (7abs + 5absw) Add '-5absw' to each side of the equation. 8abs + 5absw + -5absw = 7abs + 5absw + -5absw Combine like terms: 5absw + -5absw = 0 8abs + 0 = 7abs + 5absw + -5absw 8abs = 7abs + 5absw + -5absw Combine like terms: 5absw + -5absw = 0 8abs = 7abs + 0 8abs = 7abs Solving 8abs = 7abs Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7abs' to each side of the equation. 8abs + -7abs = 7abs + -7abs Combine like terms: 8abs + -7abs = 1abs 1abs = 7abs + -7abs Combine like terms: 7abs + -7abs = 0 1abs = 0 Divide each side by '1'. abs = 0 Simplifying abs = 0 The solution to this equation could not be determined.
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