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

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


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

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

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

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

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

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

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

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

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

Solving
38 + 18z = -48 + 28x + 7xz + 2z + -7z2

Solving for variable 'z'.

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

Combine like terms: 38 + 48 = 86
86 + -28x + -7xz + 18z + -2z + 7z2 = -48 + 28x + 7xz + 2z + -7z2 + 48 + -28x + -7xz + -2z + 7z2

Combine like terms: 18z + -2z = 16z
86 + -28x + -7xz + 16z + 7z2 = -48 + 28x + 7xz + 2z + -7z2 + 48 + -28x + -7xz + -2z + 7z2

Reorder the terms:
86 + -28x + -7xz + 16z + 7z2 = -48 + 48 + 28x + -28x + 7xz + -7xz + 2z + -2z + -7z2 + 7z2

Combine like terms: -48 + 48 = 0
86 + -28x + -7xz + 16z + 7z2 = 0 + 28x + -28x + 7xz + -7xz + 2z + -2z + -7z2 + 7z2
86 + -28x + -7xz + 16z + 7z2 = 28x + -28x + 7xz + -7xz + 2z + -2z + -7z2 + 7z2

Combine like terms: 28x + -28x = 0
86 + -28x + -7xz + 16z + 7z2 = 0 + 7xz + -7xz + 2z + -2z + -7z2 + 7z2
86 + -28x + -7xz + 16z + 7z2 = 7xz + -7xz + 2z + -2z + -7z2 + 7z2

Combine like terms: 7xz + -7xz = 0
86 + -28x + -7xz + 16z + 7z2 = 0 + 2z + -2z + -7z2 + 7z2
86 + -28x + -7xz + 16z + 7z2 = 2z + -2z + -7z2 + 7z2

Combine like terms: 2z + -2z = 0
86 + -28x + -7xz + 16z + 7z2 = 0 + -7z2 + 7z2
86 + -28x + -7xz + 16z + 7z2 = -7z2 + 7z2

Combine like terms: -7z2 + 7z2 = 0
86 + -28x + -7xz + 16z + 7z2 = 0

The solution to this equation could not be determined.

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