0.02(3c-69)=-0.6(c-1)

Solution for 0.02(3c-69)=-0.6(c-1) equation:

Simplifying
0.02(3c + -69) = -0.6(c + -1)

Reorder the terms:
0.02(-69 + 3c) = -0.6(c + -1)
(-69 * 0.02 + 3c * 0.02) = -0.6(c + -1)
(-1.38 + 0.06c) = -0.6(c + -1)

Reorder the terms:
-1.38 + 0.06c = -0.6(-1 + c)
-1.38 + 0.06c = (-1 * -0.6 + c * -0.6)
-1.38 + 0.06c = (0.6 + -0.6c)

Solving
-1.38 + 0.06c = 0.6 + -0.6c

Solving for variable 'c'.

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

Add '0.6c' to each side of the equation.
-1.38 + 0.06c + 0.6c = 0.6 + -0.6c + 0.6c

Combine like terms: 0.06c + 0.6c = 0.66c
-1.38 + 0.66c = 0.6 + -0.6c + 0.6c

Combine like terms: -0.6c + 0.6c = 0.0
-1.38 + 0.66c = 0.6 + 0.0
-1.38 + 0.66c = 0.6

Add '1.38' to each side of the equation.
-1.38 + 1.38 + 0.66c = 0.6 + 1.38

Combine like terms: -1.38 + 1.38 = 0.00
0.00 + 0.66c = 0.6 + 1.38
0.66c = 0.6 + 1.38

Combine like terms: 0.6 + 1.38 = 1.98
0.66c = 1.98

Divide each side by '0.66'.
c = 3

Simplifying
c = 3