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

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


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

Reorder the terms:
5(-1 + 3z) + -5(z + 8) = 7(z + 1)
(-1 * 5 + 3z * 5) + -5(z + 8) = 7(z + 1)
(-5 + 15z) + -5(z + 8) = 7(z + 1)

Reorder the terms:
-5 + 15z + -5(8 + z) = 7(z + 1)
-5 + 15z + (8 * -5 + z * -5) = 7(z + 1)
-5 + 15z + (-40 + -5z) = 7(z + 1)

Reorder the terms:
-5 + -40 + 15z + -5z = 7(z + 1)

Combine like terms: -5 + -40 = -45
-45 + 15z + -5z = 7(z + 1)

Combine like terms: 15z + -5z = 10z
-45 + 10z = 7(z + 1)

Reorder the terms:
-45 + 10z = 7(1 + z)
-45 + 10z = (1 * 7 + z * 7)
-45 + 10z = (7 + 7z)

Solving
-45 + 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.
-45 + 10z + -7z = 7 + 7z + -7z

Combine like terms: 10z + -7z = 3z
-45 + 3z = 7 + 7z + -7z

Combine like terms: 7z + -7z = 0
-45 + 3z = 7 + 0
-45 + 3z = 7

Add '45' to each side of the equation.
-45 + 45 + 3z = 7 + 45

Combine like terms: -45 + 45 = 0
0 + 3z = 7 + 45
3z = 7 + 45

Combine like terms: 7 + 45 = 52
3z = 52

Divide each side by '3'.
z = 17.33333333

Simplifying
z = 17.33333333

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