3z+8+6z=3z+4z-10

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Solution for 3z+8+6z=3z+4z-10 equation:


Simplifying
3z + 8 + 6z = 3z + 4z + -10

Reorder the terms:
8 + 3z + 6z = 3z + 4z + -10

Combine like terms: 3z + 6z = 9z
8 + 9z = 3z + 4z + -10

Reorder the terms:
8 + 9z = -10 + 3z + 4z

Combine like terms: 3z + 4z = 7z
8 + 9z = -10 + 7z

Solving
8 + 9z = -10 + 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.
8 + 9z + -7z = -10 + 7z + -7z

Combine like terms: 9z + -7z = 2z
8 + 2z = -10 + 7z + -7z

Combine like terms: 7z + -7z = 0
8 + 2z = -10 + 0
8 + 2z = -10

Add '-8' to each side of the equation.
8 + -8 + 2z = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 2z = -10 + -8
2z = -10 + -8

Combine like terms: -10 + -8 = -18
2z = -18

Divide each side by '2'.
z = -9

Simplifying
z = -9

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