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

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


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

Reorder the terms:
3(-1 + 4z) + -5(z + 1) = 5(z + 1)
(-1 * 3 + 4z * 3) + -5(z + 1) = 5(z + 1)
(-3 + 12z) + -5(z + 1) = 5(z + 1)

Reorder the terms:
-3 + 12z + -5(1 + z) = 5(z + 1)
-3 + 12z + (1 * -5 + z * -5) = 5(z + 1)
-3 + 12z + (-5 + -5z) = 5(z + 1)

Reorder the terms:
-3 + -5 + 12z + -5z = 5(z + 1)

Combine like terms: -3 + -5 = -8
-8 + 12z + -5z = 5(z + 1)

Combine like terms: 12z + -5z = 7z
-8 + 7z = 5(z + 1)

Reorder the terms:
-8 + 7z = 5(1 + z)
-8 + 7z = (1 * 5 + z * 5)
-8 + 7z = (5 + 5z)

Solving
-8 + 7z = 5 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-8 + 7z + -5z = 5 + 5z + -5z

Combine like terms: 7z + -5z = 2z
-8 + 2z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-8 + 2z = 5 + 0
-8 + 2z = 5

Add '8' to each side of the equation.
-8 + 8 + 2z = 5 + 8

Combine like terms: -8 + 8 = 0
0 + 2z = 5 + 8
2z = 5 + 8

Combine like terms: 5 + 8 = 13
2z = 13

Divide each side by '2'.
z = 6.5

Simplifying
z = 6.5

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