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

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


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

Reorder the terms:
5(-1 + 4z) + -3(z + 5) = 3(z + 1)
(-1 * 5 + 4z * 5) + -3(z + 5) = 3(z + 1)
(-5 + 20z) + -3(z + 5) = 3(z + 1)

Reorder the terms:
-5 + 20z + -3(5 + z) = 3(z + 1)
-5 + 20z + (5 * -3 + z * -3) = 3(z + 1)
-5 + 20z + (-15 + -3z) = 3(z + 1)

Reorder the terms:
-5 + -15 + 20z + -3z = 3(z + 1)

Combine like terms: -5 + -15 = -20
-20 + 20z + -3z = 3(z + 1)

Combine like terms: 20z + -3z = 17z
-20 + 17z = 3(z + 1)

Reorder the terms:
-20 + 17z = 3(1 + z)
-20 + 17z = (1 * 3 + z * 3)
-20 + 17z = (3 + 3z)

Solving
-20 + 17z = 3 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-20 + 17z + -3z = 3 + 3z + -3z

Combine like terms: 17z + -3z = 14z
-20 + 14z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-20 + 14z = 3 + 0
-20 + 14z = 3

Add '20' to each side of the equation.
-20 + 20 + 14z = 3 + 20

Combine like terms: -20 + 20 = 0
0 + 14z = 3 + 20
14z = 3 + 20

Combine like terms: 3 + 20 = 23
14z = 23

Divide each side by '14'.
z = 1.642857143

Simplifying
z = 1.642857143

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