10+5(z-2)=4z+5

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Solution for 10+5(z-2)=4z+5 equation:


Simplifying
10 + 5(z + -2) = 4z + 5

Reorder the terms:
10 + 5(-2 + z) = 4z + 5
10 + (-2 * 5 + z * 5) = 4z + 5
10 + (-10 + 5z) = 4z + 5

Combine like terms: 10 + -10 = 0
0 + 5z = 4z + 5
5z = 4z + 5

Reorder the terms:
5z = 5 + 4z

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

Combine like terms: 5z + -4z = 1z
1z = 5 + 4z + -4z

Combine like terms: 4z + -4z = 0
1z = 5 + 0
1z = 5

Divide each side by '1'.
z = 5

Simplifying
z = 5

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