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

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

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

Reorder the terms:
13(4 + z) + -4(z + -1) = 4(z + -1z) + 4(z + -4)
(4 * 13 + z * 13) + -4(z + -1) = 4(z + -1z) + 4(z + -4)
(52 + 13z) + -4(z + -1) = 4(z + -1z) + 4(z + -4)

Reorder the terms:
52 + 13z + -4(-1 + z) = 4(z + -1z) + 4(z + -4)
52 + 13z + (-1 * -4 + z * -4) = 4(z + -1z) + 4(z + -4)
52 + 13z + (4 + -4z) = 4(z + -1z) + 4(z + -4)

Reorder the terms:
52 + 4 + 13z + -4z = 4(z + -1z) + 4(z + -4)

Combine like terms: 52 + 4 = 56
56 + 13z + -4z = 4(z + -1z) + 4(z + -4)

Combine like terms: 13z + -4z = 9z
56 + 9z = 4(z + -1z) + 4(z + -4)

Combine like terms: z + -1z = 0
56 + 9z = 4(0) + 4(z + -4)

Multiply 4 * 0
56 + 9z = 0 + 4(z + -4)

Anything times zero is zero.
56 + 9z = 0 + 4(z + -4)

Reorder the terms:
56 + 9z = 0 + 4(-4 + z)
56 + 9z = 0 + (-4 * 4 + z * 4)
56 + 9z = 0 + (-16 + 4z)

Combine like terms: 0 + -16 = -16
56 + 9z = -16 + 4z

Solving
56 + 9z = -16 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
56 + 9z + -4z = -16 + 4z + -4z

Combine like terms: 9z + -4z = 5z
56 + 5z = -16 + 4z + -4z

Combine like terms: 4z + -4z = 0
56 + 5z = -16 + 0
56 + 5z = -16

Add '-56' to each side of the equation.
56 + -56 + 5z = -16 + -56

Combine like terms: 56 + -56 = 0
0 + 5z = -16 + -56
5z = -16 + -56

Combine like terms: -16 + -56 = -72
5z = -72

Divide each side by '5'.
z = -14.4

Simplifying
z = -14.4