z-15z+6=-3(z+3)

Solution for z-15z+6=-3(z+3) equation:

Simplifying
z + -15z + 6 = -3(z + 3)

Reorder the terms:
6 + z + -15z = -3(z + 3)

Combine like terms: z + -15z = -14z
6 + -14z = -3(z + 3)

Reorder the terms:
6 + -14z = -3(3 + z)
6 + -14z = (3 * -3 + z * -3)
6 + -14z = (-9 + -3z)

Solving
6 + -14z = -9 + -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.
6 + -14z + 3z = -9 + -3z + 3z

Combine like terms: -14z + 3z = -11z
6 + -11z = -9 + -3z + 3z

Combine like terms: -3z + 3z = 0
6 + -11z = -9 + 0
6 + -11z = -9

Add '-6' to each side of the equation.
6 + -6 + -11z = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -11z = -9 + -6
-11z = -9 + -6

Combine like terms: -9 + -6 = -15
-11z = -15

Divide each side by '-11'.
z = 1.363636364

Simplifying
z = 1.363636364