4(5z-1)-5(z+5)=6(z+1)

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Solution for 4(5z-1)-5(z+5)=6(z+1) equation:


Simplifying
4(5z + -1) + -5(z + 5) = 6(z + 1)

Reorder the terms:
4(-1 + 5z) + -5(z + 5) = 6(z + 1)
(-1 * 4 + 5z * 4) + -5(z + 5) = 6(z + 1)
(-4 + 20z) + -5(z + 5) = 6(z + 1)

Reorder the terms:
-4 + 20z + -5(5 + z) = 6(z + 1)
-4 + 20z + (5 * -5 + z * -5) = 6(z + 1)
-4 + 20z + (-25 + -5z) = 6(z + 1)

Reorder the terms:
-4 + -25 + 20z + -5z = 6(z + 1)

Combine like terms: -4 + -25 = -29
-29 + 20z + -5z = 6(z + 1)

Combine like terms: 20z + -5z = 15z
-29 + 15z = 6(z + 1)

Reorder the terms:
-29 + 15z = 6(1 + z)
-29 + 15z = (1 * 6 + z * 6)
-29 + 15z = (6 + 6z)

Solving
-29 + 15z = 6 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-29 + 15z + -6z = 6 + 6z + -6z

Combine like terms: 15z + -6z = 9z
-29 + 9z = 6 + 6z + -6z

Combine like terms: 6z + -6z = 0
-29 + 9z = 6 + 0
-29 + 9z = 6

Add '29' to each side of the equation.
-29 + 29 + 9z = 6 + 29

Combine like terms: -29 + 29 = 0
0 + 9z = 6 + 29
9z = 6 + 29

Combine like terms: 6 + 29 = 35
9z = 35

Divide each side by '9'.
z = 3.888888889

Simplifying
z = 3.888888889

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