-(z-9)+(6z+1)=-3(z+1)

Solution for -(z-9)+(6z+1)=-3(z+1) equation:

Simplifying
-1(z + -9) + (6z + 1) = -3(z + 1)

Reorder the terms:
-1(-9 + z) + (6z + 1) = -3(z + 1)
(-9 * -1 + z * -1) + (6z + 1) = -3(z + 1)
(9 + -1z) + (6z + 1) = -3(z + 1)

Reorder the terms:
9 + -1z + (1 + 6z) = -3(z + 1)

Remove parenthesis around (1 + 6z)
9 + -1z + 1 + 6z = -3(z + 1)

Reorder the terms:
9 + 1 + -1z + 6z = -3(z + 1)

Combine like terms: 9 + 1 = 10
10 + -1z + 6z = -3(z + 1)

Combine like terms: -1z + 6z = 5z
10 + 5z = -3(z + 1)

Reorder the terms:
10 + 5z = -3(1 + z)
10 + 5z = (1 * -3 + z * -3)
10 + 5z = (-3 + -3z)

Solving
10 + 5z = -3 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
10 + 5z + 3z = -3 + -3z + 3z

Combine like terms: 5z + 3z = 8z
10 + 8z = -3 + -3z + 3z

Combine like terms: -3z + 3z = 0
10 + 8z = -3 + 0
10 + 8z = -3

Add '-10' to each side of the equation.
10 + -10 + 8z = -3 + -10

Combine like terms: 10 + -10 = 0
0 + 8z = -3 + -10
8z = -3 + -10

Combine like terms: -3 + -10 = -13
8z = -13

Divide each side by '8'.
z = -1.625

Simplifying
z = -1.625