3+1.5(z+2)=3.5z-6

Solution for 3+1.5(z+2)=3.5z-6 equation:

Simplifying
3 + 1.5(z + 2) = 3.5z + -6

Reorder the terms:
3 + 1.5(2 + z) = 3.5z + -6
3 + (2 * 1.5 + z * 1.5) = 3.5z + -6
3 + (3 + 1.5z) = 3.5z + -6

Combine like terms: 3 + 3 = 6
6 + 1.5z = 3.5z + -6

Reorder the terms:
6 + 1.5z = -6 + 3.5z

Solving
6 + 1.5z = -6 + 3.5z

Solving for variable 'z'.

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

Add '-3.5z' to each side of the equation.
6 + 1.5z + -3.5z = -6 + 3.5z + -3.5z

Combine like terms: 1.5z + -3.5z = -2z
6 + -2z = -6 + 3.5z + -3.5z

Combine like terms: 3.5z + -3.5z = 0.0
6 + -2z = -6 + 0.0
6 + -2z = -6

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

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

Combine like terms: -6 + -6 = -12
-2z = -12

Divide each side by '-2'.
z = 6

Simplifying
z = 6