6(4z-1)-2(z+7)=17(z+1)

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Solution for 6(4z-1)-2(z+7)=17(z+1) equation:


Simplifying
6(4z + -1) + -2(z + 7) = 17(z + 1)

Reorder the terms:
6(-1 + 4z) + -2(z + 7) = 17(z + 1)
(-1 * 6 + 4z * 6) + -2(z + 7) = 17(z + 1)
(-6 + 24z) + -2(z + 7) = 17(z + 1)

Reorder the terms:
-6 + 24z + -2(7 + z) = 17(z + 1)
-6 + 24z + (7 * -2 + z * -2) = 17(z + 1)
-6 + 24z + (-14 + -2z) = 17(z + 1)

Reorder the terms:
-6 + -14 + 24z + -2z = 17(z + 1)

Combine like terms: -6 + -14 = -20
-20 + 24z + -2z = 17(z + 1)

Combine like terms: 24z + -2z = 22z
-20 + 22z = 17(z + 1)

Reorder the terms:
-20 + 22z = 17(1 + z)
-20 + 22z = (1 * 17 + z * 17)
-20 + 22z = (17 + 17z)

Solving
-20 + 22z = 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.
-20 + 22z + -17z = 17 + 17z + -17z

Combine like terms: 22z + -17z = 5z
-20 + 5z = 17 + 17z + -17z

Combine like terms: 17z + -17z = 0
-20 + 5z = 17 + 0
-20 + 5z = 17

Add '20' to each side of the equation.
-20 + 20 + 5z = 17 + 20

Combine like terms: -20 + 20 = 0
0 + 5z = 17 + 20
5z = 17 + 20

Combine like terms: 17 + 20 = 37
5z = 37

Divide each side by '5'.
z = 7.4

Simplifying
z = 7.4

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