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

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


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

Reorder the terms:
3(-1 + 5z) + -5(z + 6) = 5(z + 1)
(-1 * 3 + 5z * 3) + -5(z + 6) = 5(z + 1)
(-3 + 15z) + -5(z + 6) = 5(z + 1)

Reorder the terms:
-3 + 15z + -5(6 + z) = 5(z + 1)
-3 + 15z + (6 * -5 + z * -5) = 5(z + 1)
-3 + 15z + (-30 + -5z) = 5(z + 1)

Reorder the terms:
-3 + -30 + 15z + -5z = 5(z + 1)

Combine like terms: -3 + -30 = -33
-33 + 15z + -5z = 5(z + 1)

Combine like terms: 15z + -5z = 10z
-33 + 10z = 5(z + 1)

Reorder the terms:
-33 + 10z = 5(1 + z)
-33 + 10z = (1 * 5 + z * 5)
-33 + 10z = (5 + 5z)

Solving
-33 + 10z = 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.
-33 + 10z + -5z = 5 + 5z + -5z

Combine like terms: 10z + -5z = 5z
-33 + 5z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-33 + 5z = 5 + 0
-33 + 5z = 5

Add '33' to each side of the equation.
-33 + 33 + 5z = 5 + 33

Combine like terms: -33 + 33 = 0
0 + 5z = 5 + 33
5z = 5 + 33

Combine like terms: 5 + 33 = 38
5z = 38

Divide each side by '5'.
z = 7.6

Simplifying
z = 7.6

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