-7(k+9)=9(k-5)-24k

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Solution for -7(k+9)=9(k-5)-24k equation:


Simplifying
-7(k + 9) = 9(k + -5) + -24k

Reorder the terms:
-7(9 + k) = 9(k + -5) + -24k
(9 * -7 + k * -7) = 9(k + -5) + -24k
(-63 + -7k) = 9(k + -5) + -24k

Reorder the terms:
-63 + -7k = 9(-5 + k) + -24k
-63 + -7k = (-5 * 9 + k * 9) + -24k
-63 + -7k = (-45 + 9k) + -24k

Combine like terms: 9k + -24k = -15k
-63 + -7k = -45 + -15k

Solving
-63 + -7k = -45 + -15k

Solving for variable 'k'.

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

Add '15k' to each side of the equation.
-63 + -7k + 15k = -45 + -15k + 15k

Combine like terms: -7k + 15k = 8k
-63 + 8k = -45 + -15k + 15k

Combine like terms: -15k + 15k = 0
-63 + 8k = -45 + 0
-63 + 8k = -45

Add '63' to each side of the equation.
-63 + 63 + 8k = -45 + 63

Combine like terms: -63 + 63 = 0
0 + 8k = -45 + 63
8k = -45 + 63

Combine like terms: -45 + 63 = 18
8k = 18

Divide each side by '8'.
k = 2.25

Simplifying
k = 2.25

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