4z-28=-2(z+7)-z

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Solution for 4z-28=-2(z+7)-z equation:


Simplifying
4z + -28 = -2(z + 7) + -1z

Reorder the terms:
-28 + 4z = -2(z + 7) + -1z

Reorder the terms:
-28 + 4z = -2(7 + z) + -1z
-28 + 4z = (7 * -2 + z * -2) + -1z
-28 + 4z = (-14 + -2z) + -1z

Combine like terms: -2z + -1z = -3z
-28 + 4z = -14 + -3z

Solving
-28 + 4z = -14 + -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.
-28 + 4z + 3z = -14 + -3z + 3z

Combine like terms: 4z + 3z = 7z
-28 + 7z = -14 + -3z + 3z

Combine like terms: -3z + 3z = 0
-28 + 7z = -14 + 0
-28 + 7z = -14

Add '28' to each side of the equation.
-28 + 28 + 7z = -14 + 28

Combine like terms: -28 + 28 = 0
0 + 7z = -14 + 28
7z = -14 + 28

Combine like terms: -14 + 28 = 14
7z = 14

Divide each side by '7'.
z = 2

Simplifying
z = 2

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