5(k-6)-(4k+5)=9

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Solution for 5(k-6)-(4k+5)=9 equation:


Simplifying
5(k + -6) + -1(4k + 5) = 9

Reorder the terms:
5(-6 + k) + -1(4k + 5) = 9
(-6 * 5 + k * 5) + -1(4k + 5) = 9
(-30 + 5k) + -1(4k + 5) = 9

Reorder the terms:
-30 + 5k + -1(5 + 4k) = 9
-30 + 5k + (5 * -1 + 4k * -1) = 9
-30 + 5k + (-5 + -4k) = 9

Reorder the terms:
-30 + -5 + 5k + -4k = 9

Combine like terms: -30 + -5 = -35
-35 + 5k + -4k = 9

Combine like terms: 5k + -4k = 1k
-35 + 1k = 9

Solving
-35 + 1k = 9

Solving for variable 'k'.

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

Add '35' to each side of the equation.
-35 + 35 + 1k = 9 + 35

Combine like terms: -35 + 35 = 0
0 + 1k = 9 + 35
1k = 9 + 35

Combine like terms: 9 + 35 = 44
1k = 44

Divide each side by '1'.
k = 44

Simplifying
k = 44

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