z-1.5-1.7=-6.5(z+5.8)

Solution for z-1.5-1.7=-6.5(z+5.8) equation:

Simplifying
z + -1.5 + -1.7 = -6.5(z + 5.8)

Reorder the terms:
-1.5 + -1.7 + z = -6.5(z + 5.8)

Combine like terms: -1.5 + -1.7 = -3.2
-3.2 + z = -6.5(z + 5.8)

Reorder the terms:
-3.2 + z = -6.5(5.8 + z)
-3.2 + z = (5.8 * -6.5 + z * -6.5)
-3.2 + z = (-37.7 + -6.5z)

Solving
-3.2 + z = -37.7 + -6.5z

Solving for variable 'z'.

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

Add '6.5z' to each side of the equation.
-3.2 + z + 6.5z = -37.7 + -6.5z + 6.5z

Combine like terms: z + 6.5z = 7.5z
-3.2 + 7.5z = -37.7 + -6.5z + 6.5z

Combine like terms: -6.5z + 6.5z = 0.0
-3.2 + 7.5z = -37.7 + 0.0
-3.2 + 7.5z = -37.7

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 7.5z = -37.7 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 7.5z = -37.7 + 3.2
7.5z = -37.7 + 3.2

Combine like terms: -37.7 + 3.2 = -34.5
7.5z = -34.5

Divide each side by '7.5'.
z = -4.6

Simplifying
z = -4.6