5(4z-1)-4(z+1)=10(z+1)

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Solution for 5(4z-1)-4(z+1)=10(z+1) equation:


Simplifying
5(4z + -1) + -4(z + 1) = 10(z + 1)

Reorder the terms:
5(-1 + 4z) + -4(z + 1) = 10(z + 1)
(-1 * 5 + 4z * 5) + -4(z + 1) = 10(z + 1)
(-5 + 20z) + -4(z + 1) = 10(z + 1)

Reorder the terms:
-5 + 20z + -4(1 + z) = 10(z + 1)
-5 + 20z + (1 * -4 + z * -4) = 10(z + 1)
-5 + 20z + (-4 + -4z) = 10(z + 1)

Reorder the terms:
-5 + -4 + 20z + -4z = 10(z + 1)

Combine like terms: -5 + -4 = -9
-9 + 20z + -4z = 10(z + 1)

Combine like terms: 20z + -4z = 16z
-9 + 16z = 10(z + 1)

Reorder the terms:
-9 + 16z = 10(1 + z)
-9 + 16z = (1 * 10 + z * 10)
-9 + 16z = (10 + 10z)

Solving
-9 + 16z = 10 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
-9 + 16z + -10z = 10 + 10z + -10z

Combine like terms: 16z + -10z = 6z
-9 + 6z = 10 + 10z + -10z

Combine like terms: 10z + -10z = 0
-9 + 6z = 10 + 0
-9 + 6z = 10

Add '9' to each side of the equation.
-9 + 9 + 6z = 10 + 9

Combine like terms: -9 + 9 = 0
0 + 6z = 10 + 9
6z = 10 + 9

Combine like terms: 10 + 9 = 19
6z = 19

Divide each side by '6'.
z = 3.166666667

Simplifying
z = 3.166666667

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