6(3z-1)-3(z+4)=5(z+1)

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Solution for 6(3z-1)-3(z+4)=5(z+1) equation:


Simplifying
6(3z + -1) + -3(z + 4) = 5(z + 1)

Reorder the terms:
6(-1 + 3z) + -3(z + 4) = 5(z + 1)
(-1 * 6 + 3z * 6) + -3(z + 4) = 5(z + 1)
(-6 + 18z) + -3(z + 4) = 5(z + 1)

Reorder the terms:
-6 + 18z + -3(4 + z) = 5(z + 1)
-6 + 18z + (4 * -3 + z * -3) = 5(z + 1)
-6 + 18z + (-12 + -3z) = 5(z + 1)

Reorder the terms:
-6 + -12 + 18z + -3z = 5(z + 1)

Combine like terms: -6 + -12 = -18
-18 + 18z + -3z = 5(z + 1)

Combine like terms: 18z + -3z = 15z
-18 + 15z = 5(z + 1)

Reorder the terms:
-18 + 15z = 5(1 + z)
-18 + 15z = (1 * 5 + z * 5)
-18 + 15z = (5 + 5z)

Solving
-18 + 15z = 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.
-18 + 15z + -5z = 5 + 5z + -5z

Combine like terms: 15z + -5z = 10z
-18 + 10z = 5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-18 + 10z = 5 + 0
-18 + 10z = 5

Add '18' to each side of the equation.
-18 + 18 + 10z = 5 + 18

Combine like terms: -18 + 18 = 0
0 + 10z = 5 + 18
10z = 5 + 18

Combine like terms: 5 + 18 = 23
10z = 23

Divide each side by '10'.
z = 2.3

Simplifying
z = 2.3

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