7z+1=2z-10

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Solution for 7z+1=2z-10 equation:


Simplifying
7z + 1 = 2z + -10

Reorder the terms:
1 + 7z = 2z + -10

Reorder the terms:
1 + 7z = -10 + 2z

Solving
1 + 7z = -10 + 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.
1 + 7z + -2z = -10 + 2z + -2z

Combine like terms: 7z + -2z = 5z
1 + 5z = -10 + 2z + -2z

Combine like terms: 2z + -2z = 0
1 + 5z = -10 + 0
1 + 5z = -10

Add '-1' to each side of the equation.
1 + -1 + 5z = -10 + -1

Combine like terms: 1 + -1 = 0
0 + 5z = -10 + -1
5z = -10 + -1

Combine like terms: -10 + -1 = -11
5z = -11

Divide each side by '5'.
z = -2.2

Simplifying
z = -2.2

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