5(2z-1)-4(z+7)=4(z+1)

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Solution for 5(2z-1)-4(z+7)=4(z+1) equation:


Simplifying
5(2z + -1) + -4(z + 7) = 4(z + 1)

Reorder the terms:
5(-1 + 2z) + -4(z + 7) = 4(z + 1)
(-1 * 5 + 2z * 5) + -4(z + 7) = 4(z + 1)
(-5 + 10z) + -4(z + 7) = 4(z + 1)

Reorder the terms:
-5 + 10z + -4(7 + z) = 4(z + 1)
-5 + 10z + (7 * -4 + z * -4) = 4(z + 1)
-5 + 10z + (-28 + -4z) = 4(z + 1)

Reorder the terms:
-5 + -28 + 10z + -4z = 4(z + 1)

Combine like terms: -5 + -28 = -33
-33 + 10z + -4z = 4(z + 1)

Combine like terms: 10z + -4z = 6z
-33 + 6z = 4(z + 1)

Reorder the terms:
-33 + 6z = 4(1 + z)
-33 + 6z = (1 * 4 + z * 4)
-33 + 6z = (4 + 4z)

Solving
-33 + 6z = 4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
-33 + 6z + -4z = 4 + 4z + -4z

Combine like terms: 6z + -4z = 2z
-33 + 2z = 4 + 4z + -4z

Combine like terms: 4z + -4z = 0
-33 + 2z = 4 + 0
-33 + 2z = 4

Add '33' to each side of the equation.
-33 + 33 + 2z = 4 + 33

Combine like terms: -33 + 33 = 0
0 + 2z = 4 + 33
2z = 4 + 33

Combine like terms: 4 + 33 = 37
2z = 37

Divide each side by '2'.
z = 18.5

Simplifying
z = 18.5

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