16-0.4(r-14)=0.6(12r-14)

Solution for 16-0.4(r-14)=0.6(12r-14) equation:

Simplifying
16 + -0.4(r + -14) = 0.6(12r + -14)

Reorder the terms:
16 + -0.4(-14 + r) = 0.6(12r + -14)
16 + (-14 * -0.4 + r * -0.4) = 0.6(12r + -14)
16 + (5.6 + -0.4r) = 0.6(12r + -14)

Combine like terms: 16 + 5.6 = 21.6
21.6 + -0.4r = 0.6(12r + -14)

Reorder the terms:
21.6 + -0.4r = 0.6(-14 + 12r)
21.6 + -0.4r = (-14 * 0.6 + 12r * 0.6)
21.6 + -0.4r = (-8.4 + 7.2r)

Solving
21.6 + -0.4r = -8.4 + 7.2r

Solving for variable 'r'.

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

Add '-7.2r' to each side of the equation.
21.6 + -0.4r + -7.2r = -8.4 + 7.2r + -7.2r

Combine like terms: -0.4r + -7.2r = -7.6r
21.6 + -7.6r = -8.4 + 7.2r + -7.2r

Combine like terms: 7.2r + -7.2r = 0.0
21.6 + -7.6r = -8.4 + 0.0
21.6 + -7.6r = -8.4

Add '-21.6' to each side of the equation.
21.6 + -21.6 + -7.6r = -8.4 + -21.6

Combine like terms: 21.6 + -21.6 = 0.0
0.0 + -7.6r = -8.4 + -21.6
-7.6r = -8.4 + -21.6

Combine like terms: -8.4 + -21.6 = -30
-7.6r = -30

Divide each side by '-7.6'.
r = 3.947368421

Simplifying
r = 3.947368421