3(k+1)-(6-3k)=5k

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Solution for 3(k+1)-(6-3k)=5k equation:


Simplifying
3(k + 1) + -1(6 + -3k) = 5k

Reorder the terms:
3(1 + k) + -1(6 + -3k) = 5k
(1 * 3 + k * 3) + -1(6 + -3k) = 5k
(3 + 3k) + -1(6 + -3k) = 5k
3 + 3k + (6 * -1 + -3k * -1) = 5k
3 + 3k + (-6 + 3k) = 5k

Reorder the terms:
3 + -6 + 3k + 3k = 5k

Combine like terms: 3 + -6 = -3
-3 + 3k + 3k = 5k

Combine like terms: 3k + 3k = 6k
-3 + 6k = 5k

Solving
-3 + 6k = 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
-3 + 6k + -5k = 5k + -5k

Combine like terms: 6k + -5k = 1k
-3 + 1k = 5k + -5k

Combine like terms: 5k + -5k = 0
-3 + 1k = 0

Add '3' to each side of the equation.
-3 + 3 + 1k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 1k = 0 + 3
1k = 0 + 3

Combine like terms: 0 + 3 = 3
1k = 3

Divide each side by '1'.
k = 3

Simplifying
k = 3

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