17+3(z-2)-11z=-7(z-2)

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Solution for 17+3(z-2)-11z=-7(z-2) equation: 


Simplifying
17 + 3(z + -2) + -11z = -7(z + -2)

Reorder the terms:
17 + 3(-2 + z) + -11z = -7(z + -2)
17 + (-2 * 3 + z * 3) + -11z = -7(z + -2)
17 + (-6 + 3z) + -11z = -7(z + -2)

Combine like terms: 17 + -6 = 11
11 + 3z + -11z = -7(z + -2)

Combine like terms: 3z + -11z = -8z
11 + -8z = -7(z + -2)

Reorder the terms:
11 + -8z = -7(-2 + z)
11 + -8z = (-2 * -7 + z * -7)
11 + -8z = (14 + -7z)

Solving
11 + -8z = 14 + -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.
11 + -8z + 7z = 14 + -7z + 7z

Combine like terms: -8z + 7z = -1z
11 + -1z = 14 + -7z + 7z

Combine like terms: -7z + 7z = 0
11 + -1z = 14 + 0
11 + -1z = 14

Add '-11' to each side of the equation.
11 + -11 + -1z = 14 + -11

Combine like terms: 11 + -11 = 0
0 + -1z = 14 + -11
-1z = 14 + -11

Combine like terms: 14 + -11 = 3
-1z = 3

Divide each side by '-1'.
z = -3

Simplifying
z = -3

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