5(6z-1)-3(z+8)=18(z+1)

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Solution for 5(6z-1)-3(z+8)=18(z+1) equation:


Simplifying
5(6z + -1) + -3(z + 8) = 18(z + 1)

Reorder the terms:
5(-1 + 6z) + -3(z + 8) = 18(z + 1)
(-1 * 5 + 6z * 5) + -3(z + 8) = 18(z + 1)
(-5 + 30z) + -3(z + 8) = 18(z + 1)

Reorder the terms:
-5 + 30z + -3(8 + z) = 18(z + 1)
-5 + 30z + (8 * -3 + z * -3) = 18(z + 1)
-5 + 30z + (-24 + -3z) = 18(z + 1)

Reorder the terms:
-5 + -24 + 30z + -3z = 18(z + 1)

Combine like terms: -5 + -24 = -29
-29 + 30z + -3z = 18(z + 1)

Combine like terms: 30z + -3z = 27z
-29 + 27z = 18(z + 1)

Reorder the terms:
-29 + 27z = 18(1 + z)
-29 + 27z = (1 * 18 + z * 18)
-29 + 27z = (18 + 18z)

Solving
-29 + 27z = 18 + 18z

Solving for variable 'z'.

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

Add '-18z' to each side of the equation.
-29 + 27z + -18z = 18 + 18z + -18z

Combine like terms: 27z + -18z = 9z
-29 + 9z = 18 + 18z + -18z

Combine like terms: 18z + -18z = 0
-29 + 9z = 18 + 0
-29 + 9z = 18

Add '29' to each side of the equation.
-29 + 29 + 9z = 18 + 29

Combine like terms: -29 + 29 = 0
0 + 9z = 18 + 29
9z = 18 + 29

Combine like terms: 18 + 29 = 47
9z = 47

Divide each side by '9'.
z = 5.222222222

Simplifying
z = 5.222222222

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