2(3c-6)-5(8d-3f)=

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Solution for 2(3c-6)-5(8d-3f)= equation:


Simplifying
2(3c + -6) + -5(8d + -3f) = 0

Reorder the terms:
2(-6 + 3c) + -5(8d + -3f) = 0
(-6 * 2 + 3c * 2) + -5(8d + -3f) = 0
(-12 + 6c) + -5(8d + -3f) = 0
-12 + 6c + (8d * -5 + -3f * -5) = 0
-12 + 6c + (-40d + 15f) = 0

Solving
-12 + 6c + -40d + 15f = 0

Solving for variable 'c'.

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

Add '12' to each side of the equation.
-12 + 6c + -40d + 12 + 15f = 0 + 12

Reorder the terms:
-12 + 12 + 6c + -40d + 15f = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 6c + -40d + 15f = 0 + 12
6c + -40d + 15f = 0 + 12

Combine like terms: 0 + 12 = 12
6c + -40d + 15f = 12

Add '40d' to each side of the equation.
6c + -40d + 40d + 15f = 12 + 40d

Combine like terms: -40d + 40d = 0
6c + 0 + 15f = 12 + 40d
6c + 15f = 12 + 40d

Add '-15f' to each side of the equation.
6c + 15f + -15f = 12 + 40d + -15f

Combine like terms: 15f + -15f = 0
6c + 0 = 12 + 40d + -15f
6c = 12 + 40d + -15f

Divide each side by '6'.
c = 2 + 6.666666667d + -2.5f

Simplifying
c = 2 + 6.666666667d + -2.5f

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