4z+10=3z-9

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Solution for 4z+10=3z-9 equation:


Simplifying
4z + 10 = 3z + -9

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

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

Solving
10 + 4z = -9 + 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.
10 + 4z + -3z = -9 + 3z + -3z

Combine like terms: 4z + -3z = 1z
10 + 1z = -9 + 3z + -3z

Combine like terms: 3z + -3z = 0
10 + 1z = -9 + 0
10 + 1z = -9

Add '-10' to each side of the equation.
10 + -10 + 1z = -9 + -10

Combine like terms: 10 + -10 = 0
0 + 1z = -9 + -10
1z = -9 + -10

Combine like terms: -9 + -10 = -19
1z = -19

Divide each side by '1'.
z = -19

Simplifying
z = -19

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