2(6z-1)-5(z+6)=5(z+1)

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Solution for 2(6z-1)-5(z+6)=5(z+1) equation:


Simplifying
2(6z + -1) + -5(z + 6) = 5(z + 1)

Reorder the terms:
2(-1 + 6z) + -5(z + 6) = 5(z + 1)
(-1 * 2 + 6z * 2) + -5(z + 6) = 5(z + 1)
(-2 + 12z) + -5(z + 6) = 5(z + 1)

Reorder the terms:
-2 + 12z + -5(6 + z) = 5(z + 1)
-2 + 12z + (6 * -5 + z * -5) = 5(z + 1)
-2 + 12z + (-30 + -5z) = 5(z + 1)

Reorder the terms:
-2 + -30 + 12z + -5z = 5(z + 1)

Combine like terms: -2 + -30 = -32
-32 + 12z + -5z = 5(z + 1)

Combine like terms: 12z + -5z = 7z
-32 + 7z = 5(z + 1)

Reorder the terms:
-32 + 7z = 5(1 + z)
-32 + 7z = (1 * 5 + z * 5)
-32 + 7z = (5 + 5z)

Solving
-32 + 7z = 5 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-32 + 7z + -5z = 5 + 5z + -5z

Combine like terms: 7z + -5z = 2z
-32 + 2z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-32 + 2z = 5 + 0
-32 + 2z = 5

Add '32' to each side of the equation.
-32 + 32 + 2z = 5 + 32

Combine like terms: -32 + 32 = 0
0 + 2z = 5 + 32
2z = 5 + 32

Combine like terms: 5 + 32 = 37
2z = 37

Divide each side by '2'.
z = 18.5

Simplifying
z = 18.5

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