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

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


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

Reorder the terms:
3(-1 + 4k) + 2(5 + -3k) = 7k
(-1 * 3 + 4k * 3) + 2(5 + -3k) = 7k
(-3 + 12k) + 2(5 + -3k) = 7k
-3 + 12k + (5 * 2 + -3k * 2) = 7k
-3 + 12k + (10 + -6k) = 7k

Reorder the terms:
-3 + 10 + 12k + -6k = 7k

Combine like terms: -3 + 10 = 7
7 + 12k + -6k = 7k

Combine like terms: 12k + -6k = 6k
7 + 6k = 7k

Solving
7 + 6k = 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.
7 + 6k + -7k = 7k + -7k

Combine like terms: 6k + -7k = -1k
7 + -1k = 7k + -7k

Combine like terms: 7k + -7k = 0
7 + -1k = 0

Add '-7' to each side of the equation.
7 + -7 + -1k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1k = 0 + -7
-1k = 0 + -7

Combine like terms: 0 + -7 = -7
-1k = -7

Divide each side by '-1'.
k = 7

Simplifying
k = 7

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