.33(c+1)=.16(3c-5)

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Solution for .33(c+1)=.16(3c-5) equation: 


Simplifying
0.33(c + 1) = 0.16(3c + -5)

Reorder the terms:
0.33(1 + c) = 0.16(3c + -5)
(1 * 0.33 + c * 0.33) = 0.16(3c + -5)
(0.33 + 0.33c) = 0.16(3c + -5)

Reorder the terms:
0.33 + 0.33c = 0.16(-5 + 3c)
0.33 + 0.33c = (-5 * 0.16 + 3c * 0.16)
0.33 + 0.33c = (-0.8 + 0.48c)

Solving
0.33 + 0.33c = -0.8 + 0.48c

Solving for variable 'c'.

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

Add '-0.48c' to each side of the equation.
0.33 + 0.33c + -0.48c = -0.8 + 0.48c + -0.48c

Combine like terms: 0.33c + -0.48c = -0.15c
0.33 + -0.15c = -0.8 + 0.48c + -0.48c

Combine like terms: 0.48c + -0.48c = 0.00
0.33 + -0.15c = -0.8 + 0.00
0.33 + -0.15c = -0.8

Add '-0.33' to each side of the equation.
0.33 + -0.33 + -0.15c = -0.8 + -0.33

Combine like terms: 0.33 + -0.33 = 0.00
0.00 + -0.15c = -0.8 + -0.33
-0.15c = -0.8 + -0.33

Combine like terms: -0.8 + -0.33 = -1.13
-0.15c = -1.13

Divide each side by '-0.15'.
c = 7.533333333

Simplifying
c = 7.533333333

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