-1.2(z-13)=-2.1(z-16)

Solution for -1.2(z-13)=-2.1(z-16) equation:

Simplifying
-1.2(z + -13) = -2.1(z + -16)

Reorder the terms:
-1.2(-13 + z) = -2.1(z + -16)
(-13 * -1.2 + z * -1.2) = -2.1(z + -16)
(15.6 + -1.2z) = -2.1(z + -16)

Reorder the terms:
15.6 + -1.2z = -2.1(-16 + z)
15.6 + -1.2z = (-16 * -2.1 + z * -2.1)
15.6 + -1.2z = (33.6 + -2.1z)

Solving
15.6 + -1.2z = 33.6 + -2.1z

Solving for variable 'z'.

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

Add '2.1z' to each side of the equation.
15.6 + -1.2z + 2.1z = 33.6 + -2.1z + 2.1z

Combine like terms: -1.2z + 2.1z = 0.9z
15.6 + 0.9z = 33.6 + -2.1z + 2.1z

Combine like terms: -2.1z + 2.1z = 0.0
15.6 + 0.9z = 33.6 + 0.0
15.6 + 0.9z = 33.6

Add '-15.6' to each side of the equation.
15.6 + -15.6 + 0.9z = 33.6 + -15.6

Combine like terms: 15.6 + -15.6 = 0.0
0.0 + 0.9z = 33.6 + -15.6
0.9z = 33.6 + -15.6

Combine like terms: 33.6 + -15.6 = 18
0.9z = 18

Divide each side by '0.9'.
z = 20

Simplifying
z = 20