3(4k-1)+2(5k-3k)=7k

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Solution for 3(4k-1)+2(5k-3k)=7k equation:


Simplifying
3(4k + -1) + 2(5k + -3k) = 7k

Reorder the terms:
3(-1 + 4k) + 2(5k + -3k) = 7k
(-1 * 3 + 4k * 3) + 2(5k + -3k) = 7k
(-3 + 12k) + 2(5k + -3k) = 7k

Combine like terms: 5k + -3k = 2k
-3 + 12k + 2(2k) = 7k

Remove parenthesis around (2k)
-3 + 12k + 2 * 2k = 7k

Multiply 2 * 2
-3 + 12k + 4k = 7k

Combine like terms: 12k + 4k = 16k
-3 + 16k = 7k

Solving
-3 + 16k = 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
-3 + 16k + -7k = 7k + -7k

Combine like terms: 16k + -7k = 9k
-3 + 9k = 7k + -7k

Combine like terms: 7k + -7k = 0
-3 + 9k = 0

Add '3' to each side of the equation.
-3 + 3 + 9k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 9k = 0 + 3
9k = 0 + 3

Combine like terms: 0 + 3 = 3
9k = 3

Divide each side by '9'.
k = 0.3333333333

Simplifying
k = 0.3333333333

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