7z+9=10-z-3

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Solution for 7z+9=10-z-3 equation:


Simplifying
7z + 9 = 10 + -1z + -3

Reorder the terms:
9 + 7z = 10 + -1z + -3

Reorder the terms:
9 + 7z = 10 + -3 + -1z

Combine like terms: 10 + -3 = 7
9 + 7z = 7 + -1z

Solving
9 + 7z = 7 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
9 + 7z + z = 7 + -1z + z

Combine like terms: 7z + z = 8z
9 + 8z = 7 + -1z + z

Combine like terms: -1z + z = 0
9 + 8z = 7 + 0
9 + 8z = 7

Add '-9' to each side of the equation.
9 + -9 + 8z = 7 + -9

Combine like terms: 9 + -9 = 0
0 + 8z = 7 + -9
8z = 7 + -9

Combine like terms: 7 + -9 = -2
8z = -2

Divide each side by '8'.
z = -0.25

Simplifying
z = -0.25

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