6(3z-1)-5(z+8)=7(z+1)

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Solution for 6(3z-1)-5(z+8)=7(z+1) equation:


Simplifying
6(3z + -1) + -5(z + 8) = 7(z + 1)

Reorder the terms:
6(-1 + 3z) + -5(z + 8) = 7(z + 1)
(-1 * 6 + 3z * 6) + -5(z + 8) = 7(z + 1)
(-6 + 18z) + -5(z + 8) = 7(z + 1)

Reorder the terms:
-6 + 18z + -5(8 + z) = 7(z + 1)
-6 + 18z + (8 * -5 + z * -5) = 7(z + 1)
-6 + 18z + (-40 + -5z) = 7(z + 1)

Reorder the terms:
-6 + -40 + 18z + -5z = 7(z + 1)

Combine like terms: -6 + -40 = -46
-46 + 18z + -5z = 7(z + 1)

Combine like terms: 18z + -5z = 13z
-46 + 13z = 7(z + 1)

Reorder the terms:
-46 + 13z = 7(1 + z)
-46 + 13z = (1 * 7 + z * 7)
-46 + 13z = (7 + 7z)

Solving
-46 + 13z = 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.
-46 + 13z + -7z = 7 + 7z + -7z

Combine like terms: 13z + -7z = 6z
-46 + 6z = 7 + 7z + -7z

Combine like terms: 7z + -7z = 0
-46 + 6z = 7 + 0
-46 + 6z = 7

Add '46' to each side of the equation.
-46 + 46 + 6z = 7 + 46

Combine like terms: -46 + 46 = 0
0 + 6z = 7 + 46
6z = 7 + 46

Combine like terms: 7 + 46 = 53
6z = 53

Divide each side by '6'.
z = 8.833333333

Simplifying
z = 8.833333333

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