5(4z-1)-5(z+9)=6(z+1)

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Solution for 5(4z-1)-5(z+9)=6(z+1) equation:


Simplifying
5(4z + -1) + -5(z + 9) = 6(z + 1)

Reorder the terms:
5(-1 + 4z) + -5(z + 9) = 6(z + 1)
(-1 * 5 + 4z * 5) + -5(z + 9) = 6(z + 1)
(-5 + 20z) + -5(z + 9) = 6(z + 1)

Reorder the terms:
-5 + 20z + -5(9 + z) = 6(z + 1)
-5 + 20z + (9 * -5 + z * -5) = 6(z + 1)
-5 + 20z + (-45 + -5z) = 6(z + 1)

Reorder the terms:
-5 + -45 + 20z + -5z = 6(z + 1)

Combine like terms: -5 + -45 = -50
-50 + 20z + -5z = 6(z + 1)

Combine like terms: 20z + -5z = 15z
-50 + 15z = 6(z + 1)

Reorder the terms:
-50 + 15z = 6(1 + z)
-50 + 15z = (1 * 6 + z * 6)
-50 + 15z = (6 + 6z)

Solving
-50 + 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.
-50 + 15z + -6z = 6 + 6z + -6z

Combine like terms: 15z + -6z = 9z
-50 + 9z = 6 + 6z + -6z

Combine like terms: 6z + -6z = 0
-50 + 9z = 6 + 0
-50 + 9z = 6

Add '50' to each side of the equation.
-50 + 50 + 9z = 6 + 50

Combine like terms: -50 + 50 = 0
0 + 9z = 6 + 50
9z = 6 + 50

Combine like terms: 6 + 50 = 56
9z = 56

Divide each side by '9'.
z = 6.222222222

Simplifying
z = 6.222222222

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