17+3(z+2)-11z=-7(z+2)+1

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Solution for 17+3(z+2)-11z=-7(z+2)+1 equation:


Simplifying
17 + 3(z + 2) + -11z = -7(z + 2) + 1

Reorder the terms:
17 + 3(2 + z) + -11z = -7(z + 2) + 1
17 + (2 * 3 + z * 3) + -11z = -7(z + 2) + 1
17 + (6 + 3z) + -11z = -7(z + 2) + 1

Combine like terms: 17 + 6 = 23
23 + 3z + -11z = -7(z + 2) + 1

Combine like terms: 3z + -11z = -8z
23 + -8z = -7(z + 2) + 1

Reorder the terms:
23 + -8z = -7(2 + z) + 1
23 + -8z = (2 * -7 + z * -7) + 1
23 + -8z = (-14 + -7z) + 1

Reorder the terms:
23 + -8z = -14 + 1 + -7z

Combine like terms: -14 + 1 = -13
23 + -8z = -13 + -7z

Solving
23 + -8z = -13 + -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.
23 + -8z + 7z = -13 + -7z + 7z

Combine like terms: -8z + 7z = -1z
23 + -1z = -13 + -7z + 7z

Combine like terms: -7z + 7z = 0
23 + -1z = -13 + 0
23 + -1z = -13

Add '-23' to each side of the equation.
23 + -23 + -1z = -13 + -23

Combine like terms: 23 + -23 = 0
0 + -1z = -13 + -23
-1z = -13 + -23

Combine like terms: -13 + -23 = -36
-1z = -36

Divide each side by '-1'.
z = 36

Simplifying
z = 36

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