5(6z-1)-2(z+7)=9(z+1)

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Solution for 5(6z-1)-2(z+7)=9(z+1) equation:


Simplifying
5(6z + -1) + -2(z + 7) = 9(z + 1)

Reorder the terms:
5(-1 + 6z) + -2(z + 7) = 9(z + 1)
(-1 * 5 + 6z * 5) + -2(z + 7) = 9(z + 1)
(-5 + 30z) + -2(z + 7) = 9(z + 1)

Reorder the terms:
-5 + 30z + -2(7 + z) = 9(z + 1)
-5 + 30z + (7 * -2 + z * -2) = 9(z + 1)
-5 + 30z + (-14 + -2z) = 9(z + 1)

Reorder the terms:
-5 + -14 + 30z + -2z = 9(z + 1)

Combine like terms: -5 + -14 = -19
-19 + 30z + -2z = 9(z + 1)

Combine like terms: 30z + -2z = 28z
-19 + 28z = 9(z + 1)

Reorder the terms:
-19 + 28z = 9(1 + z)
-19 + 28z = (1 * 9 + z * 9)
-19 + 28z = (9 + 9z)

Solving
-19 + 28z = 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.
-19 + 28z + -9z = 9 + 9z + -9z

Combine like terms: 28z + -9z = 19z
-19 + 19z = 9 + 9z + -9z

Combine like terms: 9z + -9z = 0
-19 + 19z = 9 + 0
-19 + 19z = 9

Add '19' to each side of the equation.
-19 + 19 + 19z = 9 + 19

Combine like terms: -19 + 19 = 0
0 + 19z = 9 + 19
19z = 9 + 19

Combine like terms: 9 + 19 = 28
19z = 28

Divide each side by '19'.
z = 1.473684211

Simplifying
z = 1.473684211

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