5z+4(4-z)=-(2-5)+7

Solution for 5z+4(4-z)=-(2-5)+7 equation:

Simplifying
5z + 4(4 + -1z) = -1(2 + -5) + 7
5z + (4 * 4 + -1z * 4) = -1(2 + -5) + 7
5z + (16 + -4z) = -1(2 + -5) + 7

Reorder the terms:
16 + 5z + -4z = -1(2 + -5) + 7

Combine like terms: 5z + -4z = 1z
16 + 1z = -1(2 + -5) + 7

Combine like terms: 2 + -5 = -3
16 + 1z = -1(-3) + 7

Multiply -1 * -3
16 + 1z = 3 + 7

Combine like terms: 3 + 7 = 10
16 + 1z = 10

Solving
16 + 1z = 10

Solving for variable 'z'.

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

Add '-16' to each side of the equation.
16 + -16 + 1z = 10 + -16

Combine like terms: 16 + -16 = 0
0 + 1z = 10 + -16
1z = 10 + -16

Combine like terms: 10 + -16 = -6
1z = -6

Divide each side by '1'.
z = -6

Simplifying
z = -6