-7(18z-19)-4z-13z(-14z-17)=91z(2z-12)

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Solution for -7(18z-19)-4z-13z(-14z-17)=91z(2z-12) equation: 


Simplifying
-7(18z + -19) + -4z + -13z(-14z + -17) = 91z(2z + -12)

Reorder the terms:
-7(-19 + 18z) + -4z + -13z(-14z + -17) = 91z(2z + -12)
(-19 * -7 + 18z * -7) + -4z + -13z(-14z + -17) = 91z(2z + -12)
(133 + -126z) + -4z + -13z(-14z + -17) = 91z(2z + -12)

Reorder the terms:
133 + -126z + -4z + -13z(-17 + -14z) = 91z(2z + -12)
133 + -126z + -4z + (-17 * -13z + -14z * -13z) = 91z(2z + -12)
133 + -126z + -4z + (221z + 182z2) = 91z(2z + -12)

Combine like terms: -126z + -4z = -130z
133 + -130z + 221z + 182z2 = 91z(2z + -12)

Combine like terms: -130z + 221z = 91z
133 + 91z + 182z2 = 91z(2z + -12)

Reorder the terms:
133 + 91z + 182z2 = 91z(-12 + 2z)
133 + 91z + 182z2 = (-12 * 91z + 2z * 91z)
133 + 91z + 182z2 = (-1092z + 182z2)

Add '-182z2' to each side of the equation.
133 + 91z + 182z2 + -182z2 = -1092z + 182z2 + -182z2

Combine like terms: 182z2 + -182z2 = 0
133 + 91z + 0 = -1092z + 182z2 + -182z2
133 + 91z = -1092z + 182z2 + -182z2

Combine like terms: 182z2 + -182z2 = 0
133 + 91z = -1092z + 0
133 + 91z = -1092z

Solving
133 + 91z = -1092z

Solving for variable 'z'.

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

Add '1092z' to each side of the equation.
133 + 91z + 1092z = -1092z + 1092z

Combine like terms: 91z + 1092z = 1183z
133 + 1183z = -1092z + 1092z

Combine like terms: -1092z + 1092z = 0
133 + 1183z = 0

Add '-133' to each side of the equation.
133 + -133 + 1183z = 0 + -133

Combine like terms: 133 + -133 = 0
0 + 1183z = 0 + -133
1183z = 0 + -133

Combine like terms: 0 + -133 = -133
1183z = -133

Divide each side by '1183'.
z = -0.1124260355

Simplifying
z = -0.1124260355

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