0.3(c+5)-0.7(c+1)=6

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Solution for 0.3(c+5)-0.7(c+1)=6 equation: 


Simplifying
0.3(c + 5) + -0.7(c + 1) = 6

Reorder the terms:
0.3(5 + c) + -0.7(c + 1) = 6
(5 * 0.3 + c * 0.3) + -0.7(c + 1) = 6
(1.5 + 0.3c) + -0.7(c + 1) = 6

Reorder the terms:
1.5 + 0.3c + -0.7(1 + c) = 6
1.5 + 0.3c + (1 * -0.7 + c * -0.7) = 6
1.5 + 0.3c + (-0.7 + -0.7c) = 6

Reorder the terms:
1.5 + -0.7 + 0.3c + -0.7c = 6

Combine like terms: 1.5 + -0.7 = 0.8
0.8 + 0.3c + -0.7c = 6

Combine like terms: 0.3c + -0.7c = -0.4c
0.8 + -0.4c = 6

Solving
0.8 + -0.4c = 6

Solving for variable 'c'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.4c = 6 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.4c = 6 + -0.8
-0.4c = 6 + -0.8

Combine like terms: 6 + -0.8 = 5.2
-0.4c = 5.2

Divide each side by '-0.4'.
c = -13

Simplifying
c = -13

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