6(5z-1)-5(z+2)=19(z+1)

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Solution for 6(5z-1)-5(z+2)=19(z+1) equation:


Simplifying
6(5z + -1) + -5(z + 2) = 19(z + 1)

Reorder the terms:
6(-1 + 5z) + -5(z + 2) = 19(z + 1)
(-1 * 6 + 5z * 6) + -5(z + 2) = 19(z + 1)
(-6 + 30z) + -5(z + 2) = 19(z + 1)

Reorder the terms:
-6 + 30z + -5(2 + z) = 19(z + 1)
-6 + 30z + (2 * -5 + z * -5) = 19(z + 1)
-6 + 30z + (-10 + -5z) = 19(z + 1)

Reorder the terms:
-6 + -10 + 30z + -5z = 19(z + 1)

Combine like terms: -6 + -10 = -16
-16 + 30z + -5z = 19(z + 1)

Combine like terms: 30z + -5z = 25z
-16 + 25z = 19(z + 1)

Reorder the terms:
-16 + 25z = 19(1 + z)
-16 + 25z = (1 * 19 + z * 19)
-16 + 25z = (19 + 19z)

Solving
-16 + 25z = 19 + 19z

Solving for variable 'z'.

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

Add '-19z' to each side of the equation.
-16 + 25z + -19z = 19 + 19z + -19z

Combine like terms: 25z + -19z = 6z
-16 + 6z = 19 + 19z + -19z

Combine like terms: 19z + -19z = 0
-16 + 6z = 19 + 0
-16 + 6z = 19

Add '16' to each side of the equation.
-16 + 16 + 6z = 19 + 16

Combine like terms: -16 + 16 = 0
0 + 6z = 19 + 16
6z = 19 + 16

Combine like terms: 19 + 16 = 35
6z = 35

Divide each side by '6'.
z = 5.833333333

Simplifying
z = 5.833333333

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