6(2z-1)-2(z+9)=7(z+1)

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Solution for 6(2z-1)-2(z+9)=7(z+1) equation:


Simplifying
6(2z + -1) + -2(z + 9) = 7(z + 1)

Reorder the terms:
6(-1 + 2z) + -2(z + 9) = 7(z + 1)
(-1 * 6 + 2z * 6) + -2(z + 9) = 7(z + 1)
(-6 + 12z) + -2(z + 9) = 7(z + 1)

Reorder the terms:
-6 + 12z + -2(9 + z) = 7(z + 1)
-6 + 12z + (9 * -2 + z * -2) = 7(z + 1)
-6 + 12z + (-18 + -2z) = 7(z + 1)

Reorder the terms:
-6 + -18 + 12z + -2z = 7(z + 1)

Combine like terms: -6 + -18 = -24
-24 + 12z + -2z = 7(z + 1)

Combine like terms: 12z + -2z = 10z
-24 + 10z = 7(z + 1)

Reorder the terms:
-24 + 10z = 7(1 + z)
-24 + 10z = (1 * 7 + z * 7)
-24 + 10z = (7 + 7z)

Solving
-24 + 10z = 7 + 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.
-24 + 10z + -7z = 7 + 7z + -7z

Combine like terms: 10z + -7z = 3z
-24 + 3z = 7 + 7z + -7z

Combine like terms: 7z + -7z = 0
-24 + 3z = 7 + 0
-24 + 3z = 7

Add '24' to each side of the equation.
-24 + 24 + 3z = 7 + 24

Combine like terms: -24 + 24 = 0
0 + 3z = 7 + 24
3z = 7 + 24

Combine like terms: 7 + 24 = 31
3z = 31

Divide each side by '3'.
z = 10.33333333

Simplifying
z = 10.33333333

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