3(6z-1)-2(z+9)=8(z+1)

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Solution for 3(6z-1)-2(z+9)=8(z+1) equation:


Simplifying
3(6z + -1) + -2(z + 9) = 8(z + 1)

Reorder the terms:
3(-1 + 6z) + -2(z + 9) = 8(z + 1)
(-1 * 3 + 6z * 3) + -2(z + 9) = 8(z + 1)
(-3 + 18z) + -2(z + 9) = 8(z + 1)

Reorder the terms:
-3 + 18z + -2(9 + z) = 8(z + 1)
-3 + 18z + (9 * -2 + z * -2) = 8(z + 1)
-3 + 18z + (-18 + -2z) = 8(z + 1)

Reorder the terms:
-3 + -18 + 18z + -2z = 8(z + 1)

Combine like terms: -3 + -18 = -21
-21 + 18z + -2z = 8(z + 1)

Combine like terms: 18z + -2z = 16z
-21 + 16z = 8(z + 1)

Reorder the terms:
-21 + 16z = 8(1 + z)
-21 + 16z = (1 * 8 + z * 8)
-21 + 16z = (8 + 8z)

Solving
-21 + 16z = 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.
-21 + 16z + -8z = 8 + 8z + -8z

Combine like terms: 16z + -8z = 8z
-21 + 8z = 8 + 8z + -8z

Combine like terms: 8z + -8z = 0
-21 + 8z = 8 + 0
-21 + 8z = 8

Add '21' to each side of the equation.
-21 + 21 + 8z = 8 + 21

Combine like terms: -21 + 21 = 0
0 + 8z = 8 + 21
8z = 8 + 21

Combine like terms: 8 + 21 = 29
8z = 29

Divide each side by '8'.
z = 3.625

Simplifying
z = 3.625

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