3(6z-1)-3(z+4)=8(z+1)

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Solution for 3(6z-1)-3(z+4)=8(z+1) equation:


Simplifying
3(6z + -1) + -3(z + 4) = 8(z + 1)

Reorder the terms:
3(-1 + 6z) + -3(z + 4) = 8(z + 1)
(-1 * 3 + 6z * 3) + -3(z + 4) = 8(z + 1)
(-3 + 18z) + -3(z + 4) = 8(z + 1)

Reorder the terms:
-3 + 18z + -3(4 + z) = 8(z + 1)
-3 + 18z + (4 * -3 + z * -3) = 8(z + 1)
-3 + 18z + (-12 + -3z) = 8(z + 1)

Reorder the terms:
-3 + -12 + 18z + -3z = 8(z + 1)

Combine like terms: -3 + -12 = -15
-15 + 18z + -3z = 8(z + 1)

Combine like terms: 18z + -3z = 15z
-15 + 15z = 8(z + 1)

Reorder the terms:
-15 + 15z = 8(1 + z)
-15 + 15z = (1 * 8 + z * 8)
-15 + 15z = (8 + 8z)

Solving
-15 + 15z = 8 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
-15 + 15z + -8z = 8 + 8z + -8z

Combine like terms: 15z + -8z = 7z
-15 + 7z = 8 + 8z + -8z

Combine like terms: 8z + -8z = 0
-15 + 7z = 8 + 0
-15 + 7z = 8

Add '15' to each side of the equation.
-15 + 15 + 7z = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 7z = 8 + 15
7z = 8 + 15

Combine like terms: 8 + 15 = 23
7z = 23

Divide each side by '7'.
z = 3.285714286

Simplifying
z = 3.285714286

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