5(4z-1)-2(z+8)=13(z+1)

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Solution for 5(4z-1)-2(z+8)=13(z+1) equation:


Simplifying
5(4z + -1) + -2(z + 8) = 13(z + 1)

Reorder the terms:
5(-1 + 4z) + -2(z + 8) = 13(z + 1)
(-1 * 5 + 4z * 5) + -2(z + 8) = 13(z + 1)
(-5 + 20z) + -2(z + 8) = 13(z + 1)

Reorder the terms:
-5 + 20z + -2(8 + z) = 13(z + 1)
-5 + 20z + (8 * -2 + z * -2) = 13(z + 1)
-5 + 20z + (-16 + -2z) = 13(z + 1)

Reorder the terms:
-5 + -16 + 20z + -2z = 13(z + 1)

Combine like terms: -5 + -16 = -21
-21 + 20z + -2z = 13(z + 1)

Combine like terms: 20z + -2z = 18z
-21 + 18z = 13(z + 1)

Reorder the terms:
-21 + 18z = 13(1 + z)
-21 + 18z = (1 * 13 + z * 13)
-21 + 18z = (13 + 13z)

Solving
-21 + 18z = 13 + 13z

Solving for variable 'z'.

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

Add '-13z' to each side of the equation.
-21 + 18z + -13z = 13 + 13z + -13z

Combine like terms: 18z + -13z = 5z
-21 + 5z = 13 + 13z + -13z

Combine like terms: 13z + -13z = 0
-21 + 5z = 13 + 0
-21 + 5z = 13

Add '21' to each side of the equation.
-21 + 21 + 5z = 13 + 21

Combine like terms: -21 + 21 = 0
0 + 5z = 13 + 21
5z = 13 + 21

Combine like terms: 13 + 21 = 34
5z = 34

Divide each side by '5'.
z = 6.8

Simplifying
z = 6.8

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