9(z+4)-2(z-1)=2(z-3)+4(z-1)

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Solution for 9(z+4)-2(z-1)=2(z-3)+4(z-1) equation: 


Simplifying
9(z + 4) + -2(z + -1) = 2(z + -3) + 4(z + -1)

Reorder the terms:
9(4 + z) + -2(z + -1) = 2(z + -3) + 4(z + -1)
(4 * 9 + z * 9) + -2(z + -1) = 2(z + -3) + 4(z + -1)
(36 + 9z) + -2(z + -1) = 2(z + -3) + 4(z + -1)

Reorder the terms:
36 + 9z + -2(-1 + z) = 2(z + -3) + 4(z + -1)
36 + 9z + (-1 * -2 + z * -2) = 2(z + -3) + 4(z + -1)
36 + 9z + (2 + -2z) = 2(z + -3) + 4(z + -1)

Reorder the terms:
36 + 2 + 9z + -2z = 2(z + -3) + 4(z + -1)

Combine like terms: 36 + 2 = 38
38 + 9z + -2z = 2(z + -3) + 4(z + -1)

Combine like terms: 9z + -2z = 7z
38 + 7z = 2(z + -3) + 4(z + -1)

Reorder the terms:
38 + 7z = 2(-3 + z) + 4(z + -1)
38 + 7z = (-3 * 2 + z * 2) + 4(z + -1)
38 + 7z = (-6 + 2z) + 4(z + -1)

Reorder the terms:
38 + 7z = -6 + 2z + 4(-1 + z)
38 + 7z = -6 + 2z + (-1 * 4 + z * 4)
38 + 7z = -6 + 2z + (-4 + 4z)

Reorder the terms:
38 + 7z = -6 + -4 + 2z + 4z

Combine like terms: -6 + -4 = -10
38 + 7z = -10 + 2z + 4z

Combine like terms: 2z + 4z = 6z
38 + 7z = -10 + 6z

Solving
38 + 7z = -10 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
38 + 7z + -6z = -10 + 6z + -6z

Combine like terms: 7z + -6z = 1z
38 + 1z = -10 + 6z + -6z

Combine like terms: 6z + -6z = 0
38 + 1z = -10 + 0
38 + 1z = -10

Add '-38' to each side of the equation.
38 + -38 + 1z = -10 + -38

Combine like terms: 38 + -38 = 0
0 + 1z = -10 + -38
1z = -10 + -38

Combine like terms: -10 + -38 = -48
1z = -48

Divide each side by '1'.
z = -48

Simplifying
z = -48

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