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

Solution for 10(z+4)-2(z-4)=4(z-4)+3(z-1) equation:

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

Reorder the terms:
10(4 + z) + -2(z + -4) = 4(z + -4) + 3(z + -1)
(4 * 10 + z * 10) + -2(z + -4) = 4(z + -4) + 3(z + -1)
(40 + 10z) + -2(z + -4) = 4(z + -4) + 3(z + -1)

Reorder the terms:
40 + 10z + -2(-4 + z) = 4(z + -4) + 3(z + -1)
40 + 10z + (-4 * -2 + z * -2) = 4(z + -4) + 3(z + -1)
40 + 10z + (8 + -2z) = 4(z + -4) + 3(z + -1)

Reorder the terms:
40 + 8 + 10z + -2z = 4(z + -4) + 3(z + -1)

Combine like terms: 40 + 8 = 48
48 + 10z + -2z = 4(z + -4) + 3(z + -1)

Combine like terms: 10z + -2z = 8z
48 + 8z = 4(z + -4) + 3(z + -1)

Reorder the terms:
48 + 8z = 4(-4 + z) + 3(z + -1)
48 + 8z = (-4 * 4 + z * 4) + 3(z + -1)
48 + 8z = (-16 + 4z) + 3(z + -1)

Reorder the terms:
48 + 8z = -16 + 4z + 3(-1 + z)
48 + 8z = -16 + 4z + (-1 * 3 + z * 3)
48 + 8z = -16 + 4z + (-3 + 3z)

Reorder the terms:
48 + 8z = -16 + -3 + 4z + 3z

Combine like terms: -16 + -3 = -19
48 + 8z = -19 + 4z + 3z

Combine like terms: 4z + 3z = 7z
48 + 8z = -19 + 7z

Solving
48 + 8z = -19 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
48 + 8z + -7z = -19 + 7z + -7z

Combine like terms: 8z + -7z = 1z
48 + 1z = -19 + 7z + -7z

Combine like terms: 7z + -7z = 0
48 + 1z = -19 + 0
48 + 1z = -19

Add '-48' to each side of the equation.
48 + -48 + 1z = -19 + -48

Combine like terms: 48 + -48 = 0
0 + 1z = -19 + -48
1z = -19 + -48

Combine like terms: -19 + -48 = -67
1z = -67

Divide each side by '1'.
z = -67

Simplifying
z = -67