5(4z+6)+-2(z+-4)=7z(z+4)+-z(7z+-2)+-48

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Solution for 5(4z+6)+-2(z+-4)=7z(z+4)+-z(7z+-2)+-48 equation: 


Simplifying
5(4z + 6) + -2(z + -4) = 7z(z + 4) + -1z(7z + -2) + -48

Reorder the terms:
5(6 + 4z) + -2(z + -4) = 7z(z + 4) + -1z(7z + -2) + -48
(6 * 5 + 4z * 5) + -2(z + -4) = 7z(z + 4) + -1z(7z + -2) + -48
(30 + 20z) + -2(z + -4) = 7z(z + 4) + -1z(7z + -2) + -48

Reorder the terms:
30 + 20z + -2(-4 + z) = 7z(z + 4) + -1z(7z + -2) + -48
30 + 20z + (-4 * -2 + z * -2) = 7z(z + 4) + -1z(7z + -2) + -48
30 + 20z + (8 + -2z) = 7z(z + 4) + -1z(7z + -2) + -48

Reorder the terms:
30 + 8 + 20z + -2z = 7z(z + 4) + -1z(7z + -2) + -48

Combine like terms: 30 + 8 = 38
38 + 20z + -2z = 7z(z + 4) + -1z(7z + -2) + -48

Combine like terms: 20z + -2z = 18z
38 + 18z = 7z(z + 4) + -1z(7z + -2) + -48

Reorder the terms:
38 + 18z = 7z(4 + z) + -1z(7z + -2) + -48
38 + 18z = (4 * 7z + z * 7z) + -1z(7z + -2) + -48
38 + 18z = (28z + 7z2) + -1z(7z + -2) + -48

Reorder the terms:
38 + 18z = 28z + 7z2 + -1z(-2 + 7z) + -48
38 + 18z = 28z + 7z2 + (-2 * -1z + 7z * -1z) + -48
38 + 18z = 28z + 7z2 + (2z + -7z2) + -48

Reorder the terms:
38 + 18z = -48 + 28z + 2z + 7z2 + -7z2

Combine like terms: 28z + 2z = 30z
38 + 18z = -48 + 30z + 7z2 + -7z2

Combine like terms: 7z2 + -7z2 = 0
38 + 18z = -48 + 30z + 0
38 + 18z = -48 + 30z

Solving
38 + 18z = -48 + 30z

Solving for variable 'z'.

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

Add '-30z' to each side of the equation.
38 + 18z + -30z = -48 + 30z + -30z

Combine like terms: 18z + -30z = -12z
38 + -12z = -48 + 30z + -30z

Combine like terms: 30z + -30z = 0
38 + -12z = -48 + 0
38 + -12z = -48

Add '-38' to each side of the equation.
38 + -38 + -12z = -48 + -38

Combine like terms: 38 + -38 = 0
0 + -12z = -48 + -38
-12z = -48 + -38

Combine like terms: -48 + -38 = -86
-12z = -86

Divide each side by '-12'.
z = 7.166666667

Simplifying
z = 7.166666667

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