5z+4=3z-6

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Solution for 5z+4=3z-6 equation:


Simplifying
5z + 4 = 3z + -6

Reorder the terms:
4 + 5z = 3z + -6

Reorder the terms:
4 + 5z = -6 + 3z

Solving
4 + 5z = -6 + 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.
4 + 5z + -3z = -6 + 3z + -3z

Combine like terms: 5z + -3z = 2z
4 + 2z = -6 + 3z + -3z

Combine like terms: 3z + -3z = 0
4 + 2z = -6 + 0
4 + 2z = -6

Add '-4' to each side of the equation.
4 + -4 + 2z = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 2z = -6 + -4
2z = -6 + -4

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

Divide each side by '2'.
z = -5

Simplifying
z = -5

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