3(6z-1)-4(z+3)=9(z+1)

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Solution for 3(6z-1)-4(z+3)=9(z+1) equation:


Simplifying
3(6z + -1) + -4(z + 3) = 9(z + 1)

Reorder the terms:
3(-1 + 6z) + -4(z + 3) = 9(z + 1)
(-1 * 3 + 6z * 3) + -4(z + 3) = 9(z + 1)
(-3 + 18z) + -4(z + 3) = 9(z + 1)

Reorder the terms:
-3 + 18z + -4(3 + z) = 9(z + 1)
-3 + 18z + (3 * -4 + z * -4) = 9(z + 1)
-3 + 18z + (-12 + -4z) = 9(z + 1)

Reorder the terms:
-3 + -12 + 18z + -4z = 9(z + 1)

Combine like terms: -3 + -12 = -15
-15 + 18z + -4z = 9(z + 1)

Combine like terms: 18z + -4z = 14z
-15 + 14z = 9(z + 1)

Reorder the terms:
-15 + 14z = 9(1 + z)
-15 + 14z = (1 * 9 + z * 9)
-15 + 14z = (9 + 9z)

Solving
-15 + 14z = 9 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-15 + 14z + -9z = 9 + 9z + -9z

Combine like terms: 14z + -9z = 5z
-15 + 5z = 9 + 9z + -9z

Combine like terms: 9z + -9z = 0
-15 + 5z = 9 + 0
-15 + 5z = 9

Add '15' to each side of the equation.
-15 + 15 + 5z = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 5z = 9 + 15
5z = 9 + 15

Combine like terms: 9 + 15 = 24
5z = 24

Divide each side by '5'.
z = 4.8

Simplifying
z = 4.8

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