(z+1)-2+5=2z-15

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Solution for (z+1)-2+5=2z-15 equation:


Simplifying
(z + 1) + -2 + 5 = 2z + -15

Reorder the terms:
(1 + z) + -2 + 5 = 2z + -15

Remove parenthesis around (1 + z)
1 + z + -2 + 5 = 2z + -15

Reorder the terms:
1 + -2 + 5 + z = 2z + -15

Combine like terms: 1 + -2 = -1
-1 + 5 + z = 2z + -15

Combine like terms: -1 + 5 = 4
4 + z = 2z + -15

Reorder the terms:
4 + z = -15 + 2z

Solving
4 + z = -15 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
4 + z + -2z = -15 + 2z + -2z

Combine like terms: z + -2z = -1z
4 + -1z = -15 + 2z + -2z

Combine like terms: 2z + -2z = 0
4 + -1z = -15 + 0
4 + -1z = -15

Add '-4' to each side of the equation.
4 + -4 + -1z = -15 + -4

Combine like terms: 4 + -4 = 0
0 + -1z = -15 + -4
-1z = -15 + -4

Combine like terms: -15 + -4 = -19
-1z = -19

Divide each side by '-1'.
z = 19

Simplifying
z = 19

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