6(5z-1)-5(z+7)=18(z+1)

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Solution for 6(5z-1)-5(z+7)=18(z+1) equation:


Simplifying
6(5z + -1) + -5(z + 7) = 18(z + 1)

Reorder the terms:
6(-1 + 5z) + -5(z + 7) = 18(z + 1)
(-1 * 6 + 5z * 6) + -5(z + 7) = 18(z + 1)
(-6 + 30z) + -5(z + 7) = 18(z + 1)

Reorder the terms:
-6 + 30z + -5(7 + z) = 18(z + 1)
-6 + 30z + (7 * -5 + z * -5) = 18(z + 1)
-6 + 30z + (-35 + -5z) = 18(z + 1)

Reorder the terms:
-6 + -35 + 30z + -5z = 18(z + 1)

Combine like terms: -6 + -35 = -41
-41 + 30z + -5z = 18(z + 1)

Combine like terms: 30z + -5z = 25z
-41 + 25z = 18(z + 1)

Reorder the terms:
-41 + 25z = 18(1 + z)
-41 + 25z = (1 * 18 + z * 18)
-41 + 25z = (18 + 18z)

Solving
-41 + 25z = 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.
-41 + 25z + -18z = 18 + 18z + -18z

Combine like terms: 25z + -18z = 7z
-41 + 7z = 18 + 18z + -18z

Combine like terms: 18z + -18z = 0
-41 + 7z = 18 + 0
-41 + 7z = 18

Add '41' to each side of the equation.
-41 + 41 + 7z = 18 + 41

Combine like terms: -41 + 41 = 0
0 + 7z = 18 + 41
7z = 18 + 41

Combine like terms: 18 + 41 = 59
7z = 59

Divide each side by '7'.
z = 8.428571429

Simplifying
z = 8.428571429

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