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

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


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

Reorder the terms:
6(8 + z) = 6(z + -4) + z
(8 * 6 + z * 6) = 6(z + -4) + z
(48 + 6z) = 6(z + -4) + z

Reorder the terms:
48 + 6z = 6(-4 + z) + z
48 + 6z = (-4 * 6 + z * 6) + z
48 + 6z = (-24 + 6z) + z

Combine like terms: 6z + z = 7z
48 + 6z = -24 + 7z

Solving
48 + 6z = -24 + 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.
48 + 6z + -7z = -24 + 7z + -7z

Combine like terms: 6z + -7z = -1z
48 + -1z = -24 + 7z + -7z

Combine like terms: 7z + -7z = 0
48 + -1z = -24 + 0
48 + -1z = -24

Add '-48' to each side of the equation.
48 + -48 + -1z = -24 + -48

Combine like terms: 48 + -48 = 0
0 + -1z = -24 + -48
-1z = -24 + -48

Combine like terms: -24 + -48 = -72
-1z = -72

Divide each side by '-1'.
z = 72

Simplifying
z = 72

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