6z+10+2z-1=7z+14

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Solution for 6z+10+2z-1=7z+14 equation:


Simplifying
6z + 10 + 2z + -1 = 7z + 14

Reorder the terms:
10 + -1 + 6z + 2z = 7z + 14

Combine like terms: 10 + -1 = 9
9 + 6z + 2z = 7z + 14

Combine like terms: 6z + 2z = 8z
9 + 8z = 7z + 14

Reorder the terms:
9 + 8z = 14 + 7z

Solving
9 + 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.
9 + 8z + -7z = 14 + 7z + -7z

Combine like terms: 8z + -7z = 1z
9 + 1z = 14 + 7z + -7z

Combine like terms: 7z + -7z = 0
9 + 1z = 14 + 0
9 + 1z = 14

Add '-9' to each side of the equation.
9 + -9 + 1z = 14 + -9

Combine like terms: 9 + -9 = 0
0 + 1z = 14 + -9
1z = 14 + -9

Combine like terms: 14 + -9 = 5
1z = 5

Divide each side by '1'.
z = 5

Simplifying
z = 5

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