0.02(9c-96)=-0.6(c-2)

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Solution for 0.02(9c-96)=-0.6(c-2) equation:


Simplifying
0.02(9c + -96) = -0.6(c + -2)

Reorder the terms:
0.02(-96 + 9c) = -0.6(c + -2)
(-96 * 0.02 + 9c * 0.02) = -0.6(c + -2)
(-1.92 + 0.18c) = -0.6(c + -2)

Reorder the terms:
-1.92 + 0.18c = -0.6(-2 + c)
-1.92 + 0.18c = (-2 * -0.6 + c * -0.6)
-1.92 + 0.18c = (1.2 + -0.6c)

Solving
-1.92 + 0.18c = 1.2 + -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.
-1.92 + 0.18c + 0.6c = 1.2 + -0.6c + 0.6c

Combine like terms: 0.18c + 0.6c = 0.78c
-1.92 + 0.78c = 1.2 + -0.6c + 0.6c

Combine like terms: -0.6c + 0.6c = 0.0
-1.92 + 0.78c = 1.2 + 0.0
-1.92 + 0.78c = 1.2

Add '1.92' to each side of the equation.
-1.92 + 1.92 + 0.78c = 1.2 + 1.92

Combine like terms: -1.92 + 1.92 = 0.00
0.00 + 0.78c = 1.2 + 1.92
0.78c = 1.2 + 1.92

Combine like terms: 1.2 + 1.92 = 3.12
0.78c = 3.12

Divide each side by '0.78'.
c = 4

Simplifying
c = 4

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