13(z+2)-4(z-4)=4(z-1)+4(z-4)

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Solution for 13(z+2)-4(z-4)=4(z-1)+4(z-4) equation: 


Simplifying
13(z + 2) + -4(z + -4) = 4(z + -1) + 4(z + -4)

Reorder the terms:
13(2 + z) + -4(z + -4) = 4(z + -1) + 4(z + -4)
(2 * 13 + z * 13) + -4(z + -4) = 4(z + -1) + 4(z + -4)
(26 + 13z) + -4(z + -4) = 4(z + -1) + 4(z + -4)

Reorder the terms:
26 + 13z + -4(-4 + z) = 4(z + -1) + 4(z + -4)
26 + 13z + (-4 * -4 + z * -4) = 4(z + -1) + 4(z + -4)
26 + 13z + (16 + -4z) = 4(z + -1) + 4(z + -4)

Reorder the terms:
26 + 16 + 13z + -4z = 4(z + -1) + 4(z + -4)

Combine like terms: 26 + 16 = 42
42 + 13z + -4z = 4(z + -1) + 4(z + -4)

Combine like terms: 13z + -4z = 9z
42 + 9z = 4(z + -1) + 4(z + -4)

Reorder the terms:
42 + 9z = 4(-1 + z) + 4(z + -4)
42 + 9z = (-1 * 4 + z * 4) + 4(z + -4)
42 + 9z = (-4 + 4z) + 4(z + -4)

Reorder the terms:
42 + 9z = -4 + 4z + 4(-4 + z)
42 + 9z = -4 + 4z + (-4 * 4 + z * 4)
42 + 9z = -4 + 4z + (-16 + 4z)

Reorder the terms:
42 + 9z = -4 + -16 + 4z + 4z

Combine like terms: -4 + -16 = -20
42 + 9z = -20 + 4z + 4z

Combine like terms: 4z + 4z = 8z
42 + 9z = -20 + 8z

Solving
42 + 9z = -20 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
42 + 9z + -8z = -20 + 8z + -8z

Combine like terms: 9z + -8z = 1z
42 + 1z = -20 + 8z + -8z

Combine like terms: 8z + -8z = 0
42 + 1z = -20 + 0
42 + 1z = -20

Add '-42' to each side of the equation.
42 + -42 + 1z = -20 + -42

Combine like terms: 42 + -42 = 0
0 + 1z = -20 + -42
1z = -20 + -42

Combine like terms: -20 + -42 = -62
1z = -62

Divide each side by '1'.
z = -62

Simplifying
z = -62

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