-(8z-(19z+2))=2(10z+3)

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Solution for -(8z-(19z+2))=2(10z+3) equation:


Simplifying
-1(8z + -1(19z + 2)) = 2(10z + 3)

Reorder the terms:
-1(8z + -1(2 + 19z)) = 2(10z + 3)
-1(8z + (2 * -1 + 19z * -1)) = 2(10z + 3)
-1(8z + (-2 + -19z)) = 2(10z + 3)

Reorder the terms:
-1(-2 + 8z + -19z) = 2(10z + 3)

Combine like terms: 8z + -19z = -11z
-1(-2 + -11z) = 2(10z + 3)
(-2 * -1 + -11z * -1) = 2(10z + 3)
(2 + 11z) = 2(10z + 3)

Reorder the terms:
2 + 11z = 2(3 + 10z)
2 + 11z = (3 * 2 + 10z * 2)
2 + 11z = (6 + 20z)

Solving
2 + 11z = 6 + 20z

Solving for variable 'z'.

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

Add '-20z' to each side of the equation.
2 + 11z + -20z = 6 + 20z + -20z

Combine like terms: 11z + -20z = -9z
2 + -9z = 6 + 20z + -20z

Combine like terms: 20z + -20z = 0
2 + -9z = 6 + 0
2 + -9z = 6

Add '-2' to each side of the equation.
2 + -2 + -9z = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -9z = 6 + -2
-9z = 6 + -2

Combine like terms: 6 + -2 = 4
-9z = 4

Divide each side by '-9'.
z = -0.4444444444

Simplifying
z = -0.4444444444

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