.04(4c-44)=-.8(c-5)

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Solution for .04(4c-44)=-.8(c-5) equation:


Simplifying
0.04(4c + -44) = -0.8(c + -5)

Reorder the terms:
0.04(-44 + 4c) = -0.8(c + -5)
(-44 * 0.04 + 4c * 0.04) = -0.8(c + -5)
(-1.76 + 0.16c) = -0.8(c + -5)

Reorder the terms:
-1.76 + 0.16c = -0.8(-5 + c)
-1.76 + 0.16c = (-5 * -0.8 + c * -0.8)
-1.76 + 0.16c = (4 + -0.8c)

Solving
-1.76 + 0.16c = 4 + -0.8c

Solving for variable 'c'.

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

Add '0.8c' to each side of the equation.
-1.76 + 0.16c + 0.8c = 4 + -0.8c + 0.8c

Combine like terms: 0.16c + 0.8c = 0.96c
-1.76 + 0.96c = 4 + -0.8c + 0.8c

Combine like terms: -0.8c + 0.8c = 0.0
-1.76 + 0.96c = 4 + 0.0
-1.76 + 0.96c = 4

Add '1.76' to each side of the equation.
-1.76 + 1.76 + 0.96c = 4 + 1.76

Combine like terms: -1.76 + 1.76 = 0.00
0.00 + 0.96c = 4 + 1.76
0.96c = 4 + 1.76

Combine like terms: 4 + 1.76 = 5.76
0.96c = 5.76

Divide each side by '0.96'.
c = 6

Simplifying
c = 6

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