(7-5z)-(2-z)=17+4z

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Solution for (7-5z)-(2-z)=17+4z equation:


Simplifying
(7 + -5z) + -1(2 + -1z) = 17 + 4z

Remove parenthesis around (7 + -5z)
7 + -5z + -1(2 + -1z) = 17 + 4z
7 + -5z + (2 * -1 + -1z * -1) = 17 + 4z
7 + -5z + (-2 + 1z) = 17 + 4z

Reorder the terms:
7 + -2 + -5z + 1z = 17 + 4z

Combine like terms: 7 + -2 = 5
5 + -5z + 1z = 17 + 4z

Combine like terms: -5z + 1z = -4z
5 + -4z = 17 + 4z

Solving
5 + -4z = 17 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
5 + -4z + -4z = 17 + 4z + -4z

Combine like terms: -4z + -4z = -8z
5 + -8z = 17 + 4z + -4z

Combine like terms: 4z + -4z = 0
5 + -8z = 17 + 0
5 + -8z = 17

Add '-5' to each side of the equation.
5 + -5 + -8z = 17 + -5

Combine like terms: 5 + -5 = 0
0 + -8z = 17 + -5
-8z = 17 + -5

Combine like terms: 17 + -5 = 12
-8z = 12

Divide each side by '-8'.
z = -1.5

Simplifying
z = -1.5

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