5(6z-1)-2(z+3)=20(z+1)

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Solution for 5(6z-1)-2(z+3)=20(z+1) equation:


Simplifying
5(6z + -1) + -2(z + 3) = 20(z + 1)

Reorder the terms:
5(-1 + 6z) + -2(z + 3) = 20(z + 1)
(-1 * 5 + 6z * 5) + -2(z + 3) = 20(z + 1)
(-5 + 30z) + -2(z + 3) = 20(z + 1)

Reorder the terms:
-5 + 30z + -2(3 + z) = 20(z + 1)
-5 + 30z + (3 * -2 + z * -2) = 20(z + 1)
-5 + 30z + (-6 + -2z) = 20(z + 1)

Reorder the terms:
-5 + -6 + 30z + -2z = 20(z + 1)

Combine like terms: -5 + -6 = -11
-11 + 30z + -2z = 20(z + 1)

Combine like terms: 30z + -2z = 28z
-11 + 28z = 20(z + 1)

Reorder the terms:
-11 + 28z = 20(1 + z)
-11 + 28z = (1 * 20 + z * 20)
-11 + 28z = (20 + 20z)

Solving
-11 + 28z = 20 + 20z

Solving for variable 'z'.

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

Add '-20z' to each side of the equation.
-11 + 28z + -20z = 20 + 20z + -20z

Combine like terms: 28z + -20z = 8z
-11 + 8z = 20 + 20z + -20z

Combine like terms: 20z + -20z = 0
-11 + 8z = 20 + 0
-11 + 8z = 20

Add '11' to each side of the equation.
-11 + 11 + 8z = 20 + 11

Combine like terms: -11 + 11 = 0
0 + 8z = 20 + 11
8z = 20 + 11

Combine like terms: 20 + 11 = 31
8z = 31

Divide each side by '8'.
z = 3.875

Simplifying
z = 3.875

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