6.5c+9.5(-c+7)=54.5

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Solution for 6.5c+9.5(-c+7)=54.5 equation: 


Simplifying
6.5c + 9.5(-1c + 7) = 54.5

Reorder the terms:
6.5c + 9.5(7 + -1c) = 54.5
6.5c + (7 * 9.5 + -1c * 9.5) = 54.5
6.5c + (66.5 + -9.5c) = 54.5

Reorder the terms:
66.5 + 6.5c + -9.5c = 54.5

Combine like terms: 6.5c + -9.5c = -3c
66.5 + -3c = 54.5

Solving
66.5 + -3c = 54.5

Solving for variable 'c'.

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

Add '-66.5' to each side of the equation.
66.5 + -66.5 + -3c = 54.5 + -66.5

Combine like terms: 66.5 + -66.5 = 0.0
0.0 + -3c = 54.5 + -66.5
-3c = 54.5 + -66.5

Combine like terms: 54.5 + -66.5 = -12
-3c = -12

Divide each side by '-3'.
c = 4

Simplifying
c = 4

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