5(4c-3)+11=3[2-3(2c+8c-1)+5c]

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Solution for 5(4c-3)+11=3[2-3(2c+8c-1)+5c] equation:


Simplifying
5(4c + -3) + 11 = 3[2 + -3(2c + 8c + -1) + 5c]

Reorder the terms:
5(-3 + 4c) + 11 = 3[2 + -3(2c + 8c + -1) + 5c]
(-3 * 5 + 4c * 5) + 11 = 3[2 + -3(2c + 8c + -1) + 5c]
(-15 + 20c) + 11 = 3[2 + -3(2c + 8c + -1) + 5c]

Reorder the terms:
-15 + 11 + 20c = 3[2 + -3(2c + 8c + -1) + 5c]

Combine like terms: -15 + 11 = -4
-4 + 20c = 3[2 + -3(2c + 8c + -1) + 5c]

Reorder the terms:
-4 + 20c = 3[2 + -3(-1 + 2c + 8c) + 5c]

Combine like terms: 2c + 8c = 10c
-4 + 20c = 3[2 + -3(-1 + 10c) + 5c]
-4 + 20c = 3[2 + (-1 * -3 + 10c * -3) + 5c]
-4 + 20c = 3[2 + (3 + -30c) + 5c]

Combine like terms: 2 + 3 = 5
-4 + 20c = 3[5 + -30c + 5c]

Combine like terms: -30c + 5c = -25c
-4 + 20c = 3[5 + -25c]
-4 + 20c = [5 * 3 + -25c * 3]
-4 + 20c = [15 + -75c]

Solving
-4 + 20c = 15 + -75c

Solving for variable 'c'.

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

Add '75c' to each side of the equation.
-4 + 20c + 75c = 15 + -75c + 75c

Combine like terms: 20c + 75c = 95c
-4 + 95c = 15 + -75c + 75c

Combine like terms: -75c + 75c = 0
-4 + 95c = 15 + 0
-4 + 95c = 15

Add '4' to each side of the equation.
-4 + 4 + 95c = 15 + 4

Combine like terms: -4 + 4 = 0
0 + 95c = 15 + 4
95c = 15 + 4

Combine like terms: 15 + 4 = 19
95c = 19

Divide each side by '95'.
c = 0.2

Simplifying
c = 0.2

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