2z+3(1-0.5z)=-z-1.5

Solution for 2z+3(1-0.5z)=-z-1.5 equation:

Simplifying
2z + 3(1 + -0.5z) = -1z + -1.5
2z + (1 * 3 + -0.5z * 3) = -1z + -1.5
2z + (3 + -1.5z) = -1z + -1.5

Reorder the terms:
3 + 2z + -1.5z = -1z + -1.5

Combine like terms: 2z + -1.5z = 0.5z
3 + 0.5z = -1z + -1.5

Reorder the terms:
3 + 0.5z = -1.5 + -1z

Solving
3 + 0.5z = -1.5 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
3 + 0.5z + z = -1.5 + -1z + z

Combine like terms: 0.5z + z = 1.5z
3 + 1.5z = -1.5 + -1z + z

Combine like terms: -1z + z = 0
3 + 1.5z = -1.5 + 0
3 + 1.5z = -1.5

Add '-3' to each side of the equation.
3 + -3 + 1.5z = -1.5 + -3

Combine like terms: 3 + -3 = 0
0 + 1.5z = -1.5 + -3
1.5z = -1.5 + -3

Combine like terms: -1.5 + -3 = -4.5
1.5z = -4.5

Divide each side by '1.5'.
z = -3

Simplifying
z = -3