6z+10=4z-19

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Solution for 6z+10=4z-19 equation:


Simplifying
6z + 10 = 4z + -19

Reorder the terms:
10 + 6z = 4z + -19

Reorder the terms:
10 + 6z = -19 + 4z

Solving
10 + 6z = -19 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
10 + 6z + -4z = -19 + 4z + -4z

Combine like terms: 6z + -4z = 2z
10 + 2z = -19 + 4z + -4z

Combine like terms: 4z + -4z = 0
10 + 2z = -19 + 0
10 + 2z = -19

Add '-10' to each side of the equation.
10 + -10 + 2z = -19 + -10

Combine like terms: 10 + -10 = 0
0 + 2z = -19 + -10
2z = -19 + -10

Combine like terms: -19 + -10 = -29
2z = -29

Divide each side by '2'.
z = -14.5

Simplifying
z = -14.5

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