4z-2(z+6)=7z+8

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Solution for 4z-2(z+6)=7z+8 equation:


Simplifying
4z + -2(z + 6) = 7z + 8

Reorder the terms:
4z + -2(6 + z) = 7z + 8
4z + (6 * -2 + z * -2) = 7z + 8
4z + (-12 + -2z) = 7z + 8

Reorder the terms:
-12 + 4z + -2z = 7z + 8

Combine like terms: 4z + -2z = 2z
-12 + 2z = 7z + 8

Reorder the terms:
-12 + 2z = 8 + 7z

Solving
-12 + 2z = 8 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
-12 + 2z + -7z = 8 + 7z + -7z

Combine like terms: 2z + -7z = -5z
-12 + -5z = 8 + 7z + -7z

Combine like terms: 7z + -7z = 0
-12 + -5z = 8 + 0
-12 + -5z = 8

Add '12' to each side of the equation.
-12 + 12 + -5z = 8 + 12

Combine like terms: -12 + 12 = 0
0 + -5z = 8 + 12
-5z = 8 + 12

Combine like terms: 8 + 12 = 20
-5z = 20

Divide each side by '-5'.
z = -4

Simplifying
z = -4

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