7(z+3)=2z+4

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Solution for 7(z+3)=2z+4 equation:


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

Reorder the terms:
7(3 + z) = 2z + 4
(3 * 7 + z * 7) = 2z + 4
(21 + 7z) = 2z + 4

Reorder the terms:
21 + 7z = 4 + 2z

Solving
21 + 7z = 4 + 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.
21 + 7z + -2z = 4 + 2z + -2z

Combine like terms: 7z + -2z = 5z
21 + 5z = 4 + 2z + -2z

Combine like terms: 2z + -2z = 0
21 + 5z = 4 + 0
21 + 5z = 4

Add '-21' to each side of the equation.
21 + -21 + 5z = 4 + -21

Combine like terms: 21 + -21 = 0
0 + 5z = 4 + -21
5z = 4 + -21

Combine like terms: 4 + -21 = -17
5z = -17

Divide each side by '5'.
z = -3.4

Simplifying
z = -3.4

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