abs(z+8)=abs(z-7)

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Solution for abs(z+8)=abs(z-7) equation:


Simplifying
abs(z + 8) = abs(z + -7)

Reorder the terms:
abs(8 + z) = abs(z + -7)
(8 * abs + z * abs) = abs(z + -7)
(8abs + absz) = abs(z + -7)

Reorder the terms:
8abs + absz = abs(-7 + z)
8abs + absz = (-7 * abs + z * abs)
8abs + absz = (-7abs + absz)

Add '-1absz' to each side of the equation.
8abs + absz + -1absz = -7abs + absz + -1absz

Combine like terms: absz + -1absz = 0
8abs + 0 = -7abs + absz + -1absz
8abs = -7abs + absz + -1absz

Combine like terms: absz + -1absz = 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 = 15abs
15abs = -7abs + 7abs

Combine like terms: -7abs + 7abs = 0
15abs = 0

Divide each side by '15'.
abs = 0

Simplifying
abs = 0

The solution to this equation could not be determined.

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