4(5z-1)-4(z+9)=5(z+1)

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Solution for 4(5z-1)-4(z+9)=5(z+1) equation:


Simplifying
4(5z + -1) + -4(z + 9) = 5(z + 1)

Reorder the terms:
4(-1 + 5z) + -4(z + 9) = 5(z + 1)
(-1 * 4 + 5z * 4) + -4(z + 9) = 5(z + 1)
(-4 + 20z) + -4(z + 9) = 5(z + 1)

Reorder the terms:
-4 + 20z + -4(9 + z) = 5(z + 1)
-4 + 20z + (9 * -4 + z * -4) = 5(z + 1)
-4 + 20z + (-36 + -4z) = 5(z + 1)

Reorder the terms:
-4 + -36 + 20z + -4z = 5(z + 1)

Combine like terms: -4 + -36 = -40
-40 + 20z + -4z = 5(z + 1)

Combine like terms: 20z + -4z = 16z
-40 + 16z = 5(z + 1)

Reorder the terms:
-40 + 16z = 5(1 + z)
-40 + 16z = (1 * 5 + z * 5)
-40 + 16z = (5 + 5z)

Solving
-40 + 16z = 5 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-40 + 16z + -5z = 5 + 5z + -5z

Combine like terms: 16z + -5z = 11z
-40 + 11z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-40 + 11z = 5 + 0
-40 + 11z = 5

Add '40' to each side of the equation.
-40 + 40 + 11z = 5 + 40

Combine like terms: -40 + 40 = 0
0 + 11z = 5 + 40
11z = 5 + 40

Combine like terms: 5 + 40 = 45
11z = 45

Divide each side by '11'.
z = 4.090909091

Simplifying
z = 4.090909091

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