-1(k+9)=9(k-5)-14k

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Solution for -1(k+9)=9(k-5)-14k equation:


Simplifying
-1(k + 9) = 9(k + -5) + -14k

Reorder the terms:
-1(9 + k) = 9(k + -5) + -14k
(9 * -1 + k * -1) = 9(k + -5) + -14k
(-9 + -1k) = 9(k + -5) + -14k

Reorder the terms:
-9 + -1k = 9(-5 + k) + -14k
-9 + -1k = (-5 * 9 + k * 9) + -14k
-9 + -1k = (-45 + 9k) + -14k

Combine like terms: 9k + -14k = -5k
-9 + -1k = -45 + -5k

Solving
-9 + -1k = -45 + -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.
-9 + -1k + 5k = -45 + -5k + 5k

Combine like terms: -1k + 5k = 4k
-9 + 4k = -45 + -5k + 5k

Combine like terms: -5k + 5k = 0
-9 + 4k = -45 + 0
-9 + 4k = -45

Add '9' to each side of the equation.
-9 + 9 + 4k = -45 + 9

Combine like terms: -9 + 9 = 0
0 + 4k = -45 + 9
4k = -45 + 9

Combine like terms: -45 + 9 = -36
4k = -36

Divide each side by '4'.
k = -9

Simplifying
k = -9

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