4z+6=3z-10

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


Simplifying
4z + 6 = 3z + -10

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

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

Solving
6 + 4z = -10 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
6 + 4z + -3z = -10 + 3z + -3z

Combine like terms: 4z + -3z = 1z
6 + 1z = -10 + 3z + -3z

Combine like terms: 3z + -3z = 0
6 + 1z = -10 + 0
6 + 1z = -10

Add '-6' to each side of the equation.
6 + -6 + 1z = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 1z = -10 + -6
1z = -10 + -6

Combine like terms: -10 + -6 = -16
1z = -16

Divide each side by '1'.
z = -16

Simplifying
z = -16

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