5(4z-1)-5(z+7)=3(z+1)

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Solution for 5(4z-1)-5(z+7)=3(z+1) equation:


Simplifying
5(4z + -1) + -5(z + 7) = 3(z + 1)

Reorder the terms:
5(-1 + 4z) + -5(z + 7) = 3(z + 1)
(-1 * 5 + 4z * 5) + -5(z + 7) = 3(z + 1)
(-5 + 20z) + -5(z + 7) = 3(z + 1)

Reorder the terms:
-5 + 20z + -5(7 + z) = 3(z + 1)
-5 + 20z + (7 * -5 + z * -5) = 3(z + 1)
-5 + 20z + (-35 + -5z) = 3(z + 1)

Reorder the terms:
-5 + -35 + 20z + -5z = 3(z + 1)

Combine like terms: -5 + -35 = -40
-40 + 20z + -5z = 3(z + 1)

Combine like terms: 20z + -5z = 15z
-40 + 15z = 3(z + 1)

Reorder the terms:
-40 + 15z = 3(1 + z)
-40 + 15z = (1 * 3 + z * 3)
-40 + 15z = (3 + 3z)

Solving
-40 + 15z = 3 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-40 + 15z + -3z = 3 + 3z + -3z

Combine like terms: 15z + -3z = 12z
-40 + 12z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-40 + 12z = 3 + 0
-40 + 12z = 3

Add '40' to each side of the equation.
-40 + 40 + 12z = 3 + 40

Combine like terms: -40 + 40 = 0
0 + 12z = 3 + 40
12z = 3 + 40

Combine like terms: 3 + 40 = 43
12z = 43

Divide each side by '12'.
z = 3.583333333

Simplifying
z = 3.583333333

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