4(2z-8)-(z-9)=8(8-7z)

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Solution for 4(2z-8)-(z-9)=8(8-7z) equation:


Simplifying
4(2z + -8) + -1(z + -9) = 8(8 + -7z)

Reorder the terms:
4(-8 + 2z) + -1(z + -9) = 8(8 + -7z)
(-8 * 4 + 2z * 4) + -1(z + -9) = 8(8 + -7z)
(-32 + 8z) + -1(z + -9) = 8(8 + -7z)

Reorder the terms:
-32 + 8z + -1(-9 + z) = 8(8 + -7z)
-32 + 8z + (-9 * -1 + z * -1) = 8(8 + -7z)
-32 + 8z + (9 + -1z) = 8(8 + -7z)

Reorder the terms:
-32 + 9 + 8z + -1z = 8(8 + -7z)

Combine like terms: -32 + 9 = -23
-23 + 8z + -1z = 8(8 + -7z)

Combine like terms: 8z + -1z = 7z
-23 + 7z = 8(8 + -7z)
-23 + 7z = (8 * 8 + -7z * 8)
-23 + 7z = (64 + -56z)

Solving
-23 + 7z = 64 + -56z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '56z' to each side of the equation.
-23 + 7z + 56z = 64 + -56z + 56z

Combine like terms: 7z + 56z = 63z
-23 + 63z = 64 + -56z + 56z

Combine like terms: -56z + 56z = 0
-23 + 63z = 64 + 0
-23 + 63z = 64

Add '23' to each side of the equation.
-23 + 23 + 63z = 64 + 23

Combine like terms: -23 + 23 = 0
0 + 63z = 64 + 23
63z = 64 + 23

Combine like terms: 64 + 23 = 87
63z = 87

Divide each side by '63'.
z = 1.380952381

Simplifying
z = 1.380952381

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