2(2z-9)=7z-60

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Solution for 2(2z-9)=7z-60 equation:


Simplifying
2(2z + -9) = 7z + -60

Reorder the terms:
2(-9 + 2z) = 7z + -60
(-9 * 2 + 2z * 2) = 7z + -60
(-18 + 4z) = 7z + -60

Reorder the terms:
-18 + 4z = -60 + 7z

Solving
-18 + 4z = -60 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-18 + 4z + -7z = -60 + 7z + -7z

Combine like terms: 4z + -7z = -3z
-18 + -3z = -60 + 7z + -7z

Combine like terms: 7z + -7z = 0
-18 + -3z = -60 + 0
-18 + -3z = -60

Add '18' to each side of the equation.
-18 + 18 + -3z = -60 + 18

Combine like terms: -18 + 18 = 0
0 + -3z = -60 + 18
-3z = -60 + 18

Combine like terms: -60 + 18 = -42
-3z = -42

Divide each side by '-3'.
z = 14

Simplifying
z = 14

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