4k-(9-3k)=8k-11

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Solution for 4k-(9-3k)=8k-11 equation:


Simplifying
4k + -1(9 + -3k) = 8k + -11
4k + (9 * -1 + -3k * -1) = 8k + -11
4k + (-9 + 3k) = 8k + -11

Reorder the terms:
-9 + 4k + 3k = 8k + -11

Combine like terms: 4k + 3k = 7k
-9 + 7k = 8k + -11

Reorder the terms:
-9 + 7k = -11 + 8k

Solving
-9 + 7k = -11 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
-9 + 7k + -8k = -11 + 8k + -8k

Combine like terms: 7k + -8k = -1k
-9 + -1k = -11 + 8k + -8k

Combine like terms: 8k + -8k = 0
-9 + -1k = -11 + 0
-9 + -1k = -11

Add '9' to each side of the equation.
-9 + 9 + -1k = -11 + 9

Combine like terms: -9 + 9 = 0
0 + -1k = -11 + 9
-1k = -11 + 9

Combine like terms: -11 + 9 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2

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