0.04(2c-30)=-0.08(c-4)

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Solution for 0.04(2c-30)=-0.08(c-4) equation:


Simplifying
0.04(2c + -30) = -0.08(c + -4)

Reorder the terms:
0.04(-30 + 2c) = -0.08(c + -4)
(-30 * 0.04 + 2c * 0.04) = -0.08(c + -4)
(-1.2 + 0.08c) = -0.08(c + -4)

Reorder the terms:
-1.2 + 0.08c = -0.08(-4 + c)
-1.2 + 0.08c = (-4 * -0.08 + c * -0.08)
-1.2 + 0.08c = (0.32 + -0.08c)

Solving
-1.2 + 0.08c = 0.32 + -0.08c

Solving for variable 'c'.

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

Add '0.08c' to each side of the equation.
-1.2 + 0.08c + 0.08c = 0.32 + -0.08c + 0.08c

Combine like terms: 0.08c + 0.08c = 0.16c
-1.2 + 0.16c = 0.32 + -0.08c + 0.08c

Combine like terms: -0.08c + 0.08c = 0.00
-1.2 + 0.16c = 0.32 + 0.00
-1.2 + 0.16c = 0.32

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.16c = 0.32 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.16c = 0.32 + 1.2
0.16c = 0.32 + 1.2

Combine like terms: 0.32 + 1.2 = 1.52
0.16c = 1.52

Divide each side by '0.16'.
c = 9.5

Simplifying
c = 9.5

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