6(4z-1)-5(z+7)=6(z+1)

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Solution for 6(4z-1)-5(z+7)=6(z+1) equation:


Simplifying
6(4z + -1) + -5(z + 7) = 6(z + 1)

Reorder the terms:
6(-1 + 4z) + -5(z + 7) = 6(z + 1)
(-1 * 6 + 4z * 6) + -5(z + 7) = 6(z + 1)
(-6 + 24z) + -5(z + 7) = 6(z + 1)

Reorder the terms:
-6 + 24z + -5(7 + z) = 6(z + 1)
-6 + 24z + (7 * -5 + z * -5) = 6(z + 1)
-6 + 24z + (-35 + -5z) = 6(z + 1)

Reorder the terms:
-6 + -35 + 24z + -5z = 6(z + 1)

Combine like terms: -6 + -35 = -41
-41 + 24z + -5z = 6(z + 1)

Combine like terms: 24z + -5z = 19z
-41 + 19z = 6(z + 1)

Reorder the terms:
-41 + 19z = 6(1 + z)
-41 + 19z = (1 * 6 + z * 6)
-41 + 19z = (6 + 6z)

Solving
-41 + 19z = 6 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-41 + 19z + -6z = 6 + 6z + -6z

Combine like terms: 19z + -6z = 13z
-41 + 13z = 6 + 6z + -6z

Combine like terms: 6z + -6z = 0
-41 + 13z = 6 + 0
-41 + 13z = 6

Add '41' to each side of the equation.
-41 + 41 + 13z = 6 + 41

Combine like terms: -41 + 41 = 0
0 + 13z = 6 + 41
13z = 6 + 41

Combine like terms: 6 + 41 = 47
13z = 47

Divide each side by '13'.
z = 3.615384615

Simplifying
z = 3.615384615

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