5(3z-1)-3(z+6)=8(2+1)

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Solution for 5(3z-1)-3(z+6)=8(2+1) equation:


Simplifying
5(3z + -1) + -3(z + 6) = 8(2 + 1)

Reorder the terms:
5(-1 + 3z) + -3(z + 6) = 8(2 + 1)
(-1 * 5 + 3z * 5) + -3(z + 6) = 8(2 + 1)
(-5 + 15z) + -3(z + 6) = 8(2 + 1)

Reorder the terms:
-5 + 15z + -3(6 + z) = 8(2 + 1)
-5 + 15z + (6 * -3 + z * -3) = 8(2 + 1)
-5 + 15z + (-18 + -3z) = 8(2 + 1)

Reorder the terms:
-5 + -18 + 15z + -3z = 8(2 + 1)

Combine like terms: -5 + -18 = -23
-23 + 15z + -3z = 8(2 + 1)

Combine like terms: 15z + -3z = 12z
-23 + 12z = 8(2 + 1)

Combine like terms: 2 + 1 = 3
-23 + 12z = 8(3)

Multiply 8 * 3
-23 + 12z = 24

Solving
-23 + 12z = 24

Solving for variable 'z'.

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

Add '23' to each side of the equation.
-23 + 23 + 12z = 24 + 23

Combine like terms: -23 + 23 = 0
0 + 12z = 24 + 23
12z = 24 + 23

Combine like terms: 24 + 23 = 47
12z = 47

Divide each side by '12'.
z = 3.916666667

Simplifying
z = 3.916666667

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