3z+4(z+1)=2z

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Solution for 3z+4(z+1)=2z equation:


Simplifying
3z + 4(z + 1) = 2z

Reorder the terms:
3z + 4(1 + z) = 2z
3z + (1 * 4 + z * 4) = 2z
3z + (4 + 4z) = 2z

Reorder the terms:
4 + 3z + 4z = 2z

Combine like terms: 3z + 4z = 7z
4 + 7z = 2z

Solving
4 + 7z = 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
4 + 7z + -2z = 2z + -2z

Combine like terms: 7z + -2z = 5z
4 + 5z = 2z + -2z

Combine like terms: 2z + -2z = 0
4 + 5z = 0

Add '-4' to each side of the equation.
4 + -4 + 5z = 0 + -4

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

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

Divide each side by '5'.
z = -0.8

Simplifying
z = -0.8

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