-(z+7)+(3z+1)=-3(2+1)

Solution for -(z+7)+(3z+1)=-3(2+1) equation:

Simplifying
-1(z + 7) + (3z + 1) = -3(2 + 1)

Reorder the terms:
-1(7 + z) + (3z + 1) = -3(2 + 1)
(7 * -1 + z * -1) + (3z + 1) = -3(2 + 1)
(-7 + -1z) + (3z + 1) = -3(2 + 1)

Reorder the terms:
-7 + -1z + (1 + 3z) = -3(2 + 1)

Remove parenthesis around (1 + 3z)
-7 + -1z + 1 + 3z = -3(2 + 1)

Reorder the terms:
-7 + 1 + -1z + 3z = -3(2 + 1)

Combine like terms: -7 + 1 = -6
-6 + -1z + 3z = -3(2 + 1)

Combine like terms: -1z + 3z = 2z
-6 + 2z = -3(2 + 1)

Combine like terms: 2 + 1 = 3
-6 + 2z = -3(3)

Multiply -3 * 3
-6 + 2z = -9

Solving
-6 + 2z = -9

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 2z = -9 + 6

Combine like terms: -6 + 6 = 0
0 + 2z = -9 + 6
2z = -9 + 6

Combine like terms: -9 + 6 = -3
2z = -3

Divide each side by '2'.
z = -1.5

Simplifying
z = -1.5