-3(2c-6)-4(c-3)=20c-20

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Solution for -3(2c-6)-4(c-3)=20c-20 equation:


Simplifying
-3(2c + -6) + -4(c + -3) = 20c + -20

Reorder the terms:
-3(-6 + 2c) + -4(c + -3) = 20c + -20
(-6 * -3 + 2c * -3) + -4(c + -3) = 20c + -20
(18 + -6c) + -4(c + -3) = 20c + -20

Reorder the terms:
18 + -6c + -4(-3 + c) = 20c + -20
18 + -6c + (-3 * -4 + c * -4) = 20c + -20
18 + -6c + (12 + -4c) = 20c + -20

Reorder the terms:
18 + 12 + -6c + -4c = 20c + -20

Combine like terms: 18 + 12 = 30
30 + -6c + -4c = 20c + -20

Combine like terms: -6c + -4c = -10c
30 + -10c = 20c + -20

Reorder the terms:
30 + -10c = -20 + 20c

Solving
30 + -10c = -20 + 20c

Solving for variable 'c'.

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

Add '-20c' to each side of the equation.
30 + -10c + -20c = -20 + 20c + -20c

Combine like terms: -10c + -20c = -30c
30 + -30c = -20 + 20c + -20c

Combine like terms: 20c + -20c = 0
30 + -30c = -20 + 0
30 + -30c = -20

Add '-30' to each side of the equation.
30 + -30 + -30c = -20 + -30

Combine like terms: 30 + -30 = 0
0 + -30c = -20 + -30
-30c = -20 + -30

Combine like terms: -20 + -30 = -50
-30c = -50

Divide each side by '-30'.
c = 1.666666667

Simplifying
c = 1.666666667

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