-7(k+9)=9(k-5)-14x

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Solution for -7(k+9)=9(k-5)-14x equation:


Simplifying
-7(k + 9) = 9(k + -5) + -14x

Reorder the terms:
-7(9 + k) = 9(k + -5) + -14x
(9 * -7 + k * -7) = 9(k + -5) + -14x
(-63 + -7k) = 9(k + -5) + -14x

Reorder the terms:
-63 + -7k = 9(-5 + k) + -14x
-63 + -7k = (-5 * 9 + k * 9) + -14x
-63 + -7k = (-45 + 9k) + -14x

Solving
-63 + -7k = -45 + 9k + -14x

Solving for variable 'k'.

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

Add '-9k' to each side of the equation.
-63 + -7k + -9k = -45 + 9k + -9k + -14x

Combine like terms: -7k + -9k = -16k
-63 + -16k = -45 + 9k + -9k + -14x

Combine like terms: 9k + -9k = 0
-63 + -16k = -45 + 0 + -14x
-63 + -16k = -45 + -14x

Add '63' to each side of the equation.
-63 + 63 + -16k = -45 + 63 + -14x

Combine like terms: -63 + 63 = 0
0 + -16k = -45 + 63 + -14x
-16k = -45 + 63 + -14x

Combine like terms: -45 + 63 = 18
-16k = 18 + -14x

Divide each side by '-16'.
k = -1.125 + 0.875x

Simplifying
k = -1.125 + 0.875x

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