3(5z-1)-5(z+8)=4(z+1)

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Solution for 3(5z-1)-5(z+8)=4(z+1) equation:


Simplifying
3(5z + -1) + -5(z + 8) = 4(z + 1)

Reorder the terms:
3(-1 + 5z) + -5(z + 8) = 4(z + 1)
(-1 * 3 + 5z * 3) + -5(z + 8) = 4(z + 1)
(-3 + 15z) + -5(z + 8) = 4(z + 1)

Reorder the terms:
-3 + 15z + -5(8 + z) = 4(z + 1)
-3 + 15z + (8 * -5 + z * -5) = 4(z + 1)
-3 + 15z + (-40 + -5z) = 4(z + 1)

Reorder the terms:
-3 + -40 + 15z + -5z = 4(z + 1)

Combine like terms: -3 + -40 = -43
-43 + 15z + -5z = 4(z + 1)

Combine like terms: 15z + -5z = 10z
-43 + 10z = 4(z + 1)

Reorder the terms:
-43 + 10z = 4(1 + z)
-43 + 10z = (1 * 4 + z * 4)
-43 + 10z = (4 + 4z)

Solving
-43 + 10z = 4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-43 + 10z + -4z = 4 + 4z + -4z

Combine like terms: 10z + -4z = 6z
-43 + 6z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-43 + 6z = 4 + 0
-43 + 6z = 4

Add '43' to each side of the equation.
-43 + 43 + 6z = 4 + 43

Combine like terms: -43 + 43 = 0
0 + 6z = 4 + 43
6z = 4 + 43

Combine like terms: 4 + 43 = 47
6z = 47

Divide each side by '6'.
z = 7.833333333

Simplifying
z = 7.833333333

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