7(-18z+13)-20+8z(-19z-20)=2z(-76z-10)

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Solution for 7(-18z+13)-20+8z(-19z-20)=2z(-76z-10) equation:


Simplifying
7(-18z + 13) + -20 + 8z(-19z + -20) = 2z(-76z + -10)

Reorder the terms:
7(13 + -18z) + -20 + 8z(-19z + -20) = 2z(-76z + -10)
(13 * 7 + -18z * 7) + -20 + 8z(-19z + -20) = 2z(-76z + -10)
(91 + -126z) + -20 + 8z(-19z + -20) = 2z(-76z + -10)

Reorder the terms:
91 + -126z + -20 + 8z(-20 + -19z) = 2z(-76z + -10)
91 + -126z + -20 + (-20 * 8z + -19z * 8z) = 2z(-76z + -10)
91 + -126z + -20 + (-160z + -152z2) = 2z(-76z + -10)

Reorder the terms:
91 + -20 + -126z + -160z + -152z2 = 2z(-76z + -10)

Combine like terms: 91 + -20 = 71
71 + -126z + -160z + -152z2 = 2z(-76z + -10)

Combine like terms: -126z + -160z = -286z
71 + -286z + -152z2 = 2z(-76z + -10)

Reorder the terms:
71 + -286z + -152z2 = 2z(-10 + -76z)
71 + -286z + -152z2 = (-10 * 2z + -76z * 2z)
71 + -286z + -152z2 = (-20z + -152z2)

Add '152z2' to each side of the equation.
71 + -286z + -152z2 + 152z2 = -20z + -152z2 + 152z2

Combine like terms: -152z2 + 152z2 = 0
71 + -286z + 0 = -20z + -152z2 + 152z2
71 + -286z = -20z + -152z2 + 152z2

Combine like terms: -152z2 + 152z2 = 0
71 + -286z = -20z + 0
71 + -286z = -20z

Solving
71 + -286z = -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.
71 + -286z + 20z = -20z + 20z

Combine like terms: -286z + 20z = -266z
71 + -266z = -20z + 20z

Combine like terms: -20z + 20z = 0
71 + -266z = 0

Add '-71' to each side of the equation.
71 + -71 + -266z = 0 + -71

Combine like terms: 71 + -71 = 0
0 + -266z = 0 + -71
-266z = 0 + -71

Combine like terms: 0 + -71 = -71
-266z = -71

Divide each side by '-266'.
z = 0.2669172932

Simplifying
z = 0.2669172932

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