5(6z-1)-4(z+7)=20(z+1)

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Solution for 5(6z-1)-4(z+7)=20(z+1) equation:


Simplifying
5(6z + -1) + -4(z + 7) = 20(z + 1)

Reorder the terms:
5(-1 + 6z) + -4(z + 7) = 20(z + 1)
(-1 * 5 + 6z * 5) + -4(z + 7) = 20(z + 1)
(-5 + 30z) + -4(z + 7) = 20(z + 1)

Reorder the terms:
-5 + 30z + -4(7 + z) = 20(z + 1)
-5 + 30z + (7 * -4 + z * -4) = 20(z + 1)
-5 + 30z + (-28 + -4z) = 20(z + 1)

Reorder the terms:
-5 + -28 + 30z + -4z = 20(z + 1)

Combine like terms: -5 + -28 = -33
-33 + 30z + -4z = 20(z + 1)

Combine like terms: 30z + -4z = 26z
-33 + 26z = 20(z + 1)

Reorder the terms:
-33 + 26z = 20(1 + z)
-33 + 26z = (1 * 20 + z * 20)
-33 + 26z = (20 + 20z)

Solving
-33 + 26z = 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.
-33 + 26z + -20z = 20 + 20z + -20z

Combine like terms: 26z + -20z = 6z
-33 + 6z = 20 + 20z + -20z

Combine like terms: 20z + -20z = 0
-33 + 6z = 20 + 0
-33 + 6z = 20

Add '33' to each side of the equation.
-33 + 33 + 6z = 20 + 33

Combine like terms: -33 + 33 = 0
0 + 6z = 20 + 33
6z = 20 + 33

Combine like terms: 20 + 33 = 53
6z = 53

Divide each side by '6'.
z = 8.833333333

Simplifying
z = 8.833333333

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