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

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


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

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

Reorder the terms:
-4 + 24z + -4(2 + z) = 17(z + 1)
-4 + 24z + (2 * -4 + z * -4) = 17(z + 1)
-4 + 24z + (-8 + -4z) = 17(z + 1)

Reorder the terms:
-4 + -8 + 24z + -4z = 17(z + 1)

Combine like terms: -4 + -8 = -12
-12 + 24z + -4z = 17(z + 1)

Combine like terms: 24z + -4z = 20z
-12 + 20z = 17(z + 1)

Reorder the terms:
-12 + 20z = 17(1 + z)
-12 + 20z = (1 * 17 + z * 17)
-12 + 20z = (17 + 17z)

Solving
-12 + 20z = 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.
-12 + 20z + -17z = 17 + 17z + -17z

Combine like terms: 20z + -17z = 3z
-12 + 3z = 17 + 17z + -17z

Combine like terms: 17z + -17z = 0
-12 + 3z = 17 + 0
-12 + 3z = 17

Add '12' to each side of the equation.
-12 + 12 + 3z = 17 + 12

Combine like terms: -12 + 12 = 0
0 + 3z = 17 + 12
3z = 17 + 12

Combine like terms: 17 + 12 = 29
3z = 29

Divide each side by '3'.
z = 9.666666667

Simplifying
z = 9.666666667

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