3(2z-5)=5-(z+4)

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Solution for 3(2z-5)=5-(z+4) equation:


Simplifying
3(2z + -5) = 5 + -1(z + 4)

Reorder the terms:
3(-5 + 2z) = 5 + -1(z + 4)
(-5 * 3 + 2z * 3) = 5 + -1(z + 4)
(-15 + 6z) = 5 + -1(z + 4)

Reorder the terms:
-15 + 6z = 5 + -1(4 + z)
-15 + 6z = 5 + (4 * -1 + z * -1)
-15 + 6z = 5 + (-4 + -1z)

Combine like terms: 5 + -4 = 1
-15 + 6z = 1 + -1z

Solving
-15 + 6z = 1 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-15 + 6z + z = 1 + -1z + z

Combine like terms: 6z + z = 7z
-15 + 7z = 1 + -1z + z

Combine like terms: -1z + z = 0
-15 + 7z = 1 + 0
-15 + 7z = 1

Add '15' to each side of the equation.
-15 + 15 + 7z = 1 + 15

Combine like terms: -15 + 15 = 0
0 + 7z = 1 + 15
7z = 1 + 15

Combine like terms: 1 + 15 = 16
7z = 16

Divide each side by '7'.
z = 2.285714286

Simplifying
z = 2.285714286

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