4(6z-1)-4(z+3)=13(z+1)

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Solution for 4(6z-1)-4(z+3)=13(z+1) equation:


Simplifying
4(6z + -1) + -4(z + 3) = 13(z + 1)

Reorder the terms:
4(-1 + 6z) + -4(z + 3) = 13(z + 1)
(-1 * 4 + 6z * 4) + -4(z + 3) = 13(z + 1)
(-4 + 24z) + -4(z + 3) = 13(z + 1)

Reorder the terms:
-4 + 24z + -4(3 + z) = 13(z + 1)
-4 + 24z + (3 * -4 + z * -4) = 13(z + 1)
-4 + 24z + (-12 + -4z) = 13(z + 1)

Reorder the terms:
-4 + -12 + 24z + -4z = 13(z + 1)

Combine like terms: -4 + -12 = -16
-16 + 24z + -4z = 13(z + 1)

Combine like terms: 24z + -4z = 20z
-16 + 20z = 13(z + 1)

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

Solving
-16 + 20z = 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.
-16 + 20z + -13z = 13 + 13z + -13z

Combine like terms: 20z + -13z = 7z
-16 + 7z = 13 + 13z + -13z

Combine like terms: 13z + -13z = 0
-16 + 7z = 13 + 0
-16 + 7z = 13

Add '16' to each side of the equation.
-16 + 16 + 7z = 13 + 16

Combine like terms: -16 + 16 = 0
0 + 7z = 13 + 16
7z = 13 + 16

Combine like terms: 13 + 16 = 29
7z = 29

Divide each side by '7'.
z = 4.142857143

Simplifying
z = 4.142857143

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