5(6z-1)-3(z+3)=17(z+1)

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Solution for 5(6z-1)-3(z+3)=17(z+1) equation:


Simplifying
5(6z + -1) + -3(z + 3) = 17(z + 1)

Reorder the terms:
5(-1 + 6z) + -3(z + 3) = 17(z + 1)
(-1 * 5 + 6z * 5) + -3(z + 3) = 17(z + 1)
(-5 + 30z) + -3(z + 3) = 17(z + 1)

Reorder the terms:
-5 + 30z + -3(3 + z) = 17(z + 1)
-5 + 30z + (3 * -3 + z * -3) = 17(z + 1)
-5 + 30z + (-9 + -3z) = 17(z + 1)

Reorder the terms:
-5 + -9 + 30z + -3z = 17(z + 1)

Combine like terms: -5 + -9 = -14
-14 + 30z + -3z = 17(z + 1)

Combine like terms: 30z + -3z = 27z
-14 + 27z = 17(z + 1)

Reorder the terms:
-14 + 27z = 17(1 + z)
-14 + 27z = (1 * 17 + z * 17)
-14 + 27z = (17 + 17z)

Solving
-14 + 27z = 17 + 17z

Solving for variable 'z'.

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

Add '-17z' to each side of the equation.
-14 + 27z + -17z = 17 + 17z + -17z

Combine like terms: 27z + -17z = 10z
-14 + 10z = 17 + 17z + -17z

Combine like terms: 17z + -17z = 0
-14 + 10z = 17 + 0
-14 + 10z = 17

Add '14' to each side of the equation.
-14 + 14 + 10z = 17 + 14

Combine like terms: -14 + 14 = 0
0 + 10z = 17 + 14
10z = 17 + 14

Combine like terms: 17 + 14 = 31
10z = 31

Divide each side by '10'.
z = 3.1

Simplifying
z = 3.1

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