5(6z-1)-2(z+8)=24(z+1)

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Solution for 5(6z-1)-2(z+8)=24(z+1) equation:


Simplifying
5(6z + -1) + -2(z + 8) = 24(z + 1)

Reorder the terms:
5(-1 + 6z) + -2(z + 8) = 24(z + 1)
(-1 * 5 + 6z * 5) + -2(z + 8) = 24(z + 1)
(-5 + 30z) + -2(z + 8) = 24(z + 1)

Reorder the terms:
-5 + 30z + -2(8 + z) = 24(z + 1)
-5 + 30z + (8 * -2 + z * -2) = 24(z + 1)
-5 + 30z + (-16 + -2z) = 24(z + 1)

Reorder the terms:
-5 + -16 + 30z + -2z = 24(z + 1)

Combine like terms: -5 + -16 = -21
-21 + 30z + -2z = 24(z + 1)

Combine like terms: 30z + -2z = 28z
-21 + 28z = 24(z + 1)

Reorder the terms:
-21 + 28z = 24(1 + z)
-21 + 28z = (1 * 24 + z * 24)
-21 + 28z = (24 + 24z)

Solving
-21 + 28z = 24 + 24z

Solving for variable 'z'.

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

Add '-24z' to each side of the equation.
-21 + 28z + -24z = 24 + 24z + -24z

Combine like terms: 28z + -24z = 4z
-21 + 4z = 24 + 24z + -24z

Combine like terms: 24z + -24z = 0
-21 + 4z = 24 + 0
-21 + 4z = 24

Add '21' to each side of the equation.
-21 + 21 + 4z = 24 + 21

Combine like terms: -21 + 21 = 0
0 + 4z = 24 + 21
4z = 24 + 21

Combine like terms: 24 + 21 = 45
4z = 45

Divide each side by '4'.
z = 11.25

Simplifying
z = 11.25

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