25=-3(22-z)+(z-2)

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Solution for 25=-3(22-z)+(z-2) equation:


Simplifying
25 = -3(22 + -1z) + (z + -2)
25 = (22 * -3 + -1z * -3) + (z + -2)
25 = (-66 + 3z) + (z + -2)

Reorder the terms:
25 = -66 + 3z + (-2 + z)

Remove parenthesis around (-2 + z)
25 = -66 + 3z + -2 + z

Reorder the terms:
25 = -66 + -2 + 3z + z

Combine like terms: -66 + -2 = -68
25 = -68 + 3z + z

Combine like terms: 3z + z = 4z
25 = -68 + 4z

Solving
25 = -68 + 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.
25 + -4z = -68 + 4z + -4z

Combine like terms: 4z + -4z = 0
25 + -4z = -68 + 0
25 + -4z = -68

Add '-25' to each side of the equation.
25 + -25 + -4z = -68 + -25

Combine like terms: 25 + -25 = 0
0 + -4z = -68 + -25
-4z = -68 + -25

Combine like terms: -68 + -25 = -93
-4z = -93

Divide each side by '-4'.
z = 23.25

Simplifying
z = 23.25

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