0.04(2c-46)=-0.8(c-1)

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Solution for 0.04(2c-46)=-0.8(c-1) equation: 


Simplifying
0.04(2c + -46) = -0.8(c + -1)

Reorder the terms:
0.04(-46 + 2c) = -0.8(c + -1)
(-46 * 0.04 + 2c * 0.04) = -0.8(c + -1)
(-1.84 + 0.08c) = -0.8(c + -1)

Reorder the terms:
-1.84 + 0.08c = -0.8(-1 + c)
-1.84 + 0.08c = (-1 * -0.8 + c * -0.8)
-1.84 + 0.08c = (0.8 + -0.8c)

Solving
-1.84 + 0.08c = 0.8 + -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.
-1.84 + 0.08c + 0.8c = 0.8 + -0.8c + 0.8c

Combine like terms: 0.08c + 0.8c = 0.88c
-1.84 + 0.88c = 0.8 + -0.8c + 0.8c

Combine like terms: -0.8c + 0.8c = 0.0
-1.84 + 0.88c = 0.8 + 0.0
-1.84 + 0.88c = 0.8

Add '1.84' to each side of the equation.
-1.84 + 1.84 + 0.88c = 0.8 + 1.84

Combine like terms: -1.84 + 1.84 = 0.00
0.00 + 0.88c = 0.8 + 1.84
0.88c = 0.8 + 1.84

Combine like terms: 0.8 + 1.84 = 2.64
0.88c = 2.64

Divide each side by '0.88'.
c = 3

Simplifying
c = 3

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