-2(3-4z)+7z=13z-4

Solution for -2(3-4z)+7z=13z-4 equation:

Simplifying
-2(3 + -4z) + 7z = 13z + -4
(3 * -2 + -4z * -2) + 7z = 13z + -4
(-6 + 8z) + 7z = 13z + -4

Combine like terms: 8z + 7z = 15z
-6 + 15z = 13z + -4

Reorder the terms:
-6 + 15z = -4 + 13z

Solving
-6 + 15z = -4 + 13z

Solving for variable 'z'.

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

Add '-13z' to each side of the equation.
-6 + 15z + -13z = -4 + 13z + -13z

Combine like terms: 15z + -13z = 2z
-6 + 2z = -4 + 13z + -13z

Combine like terms: 13z + -13z = 0
-6 + 2z = -4 + 0
-6 + 2z = -4

Add '6' to each side of the equation.
-6 + 6 + 2z = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 2z = -4 + 6
2z = -4 + 6

Combine like terms: -4 + 6 = 2
2z = 2

Divide each side by '2'.
z = 1

Simplifying
z = 1