10(k-12)=9(k+45)

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Solution for 10(k-12)=9(k+45) equation: 


Simplifying
10(k + -12) = 9(k + 45)

Reorder the terms:
10(-12 + k) = 9(k + 45)
(-12 * 10 + k * 10) = 9(k + 45)
(-120 + 10k) = 9(k + 45)

Reorder the terms:
-120 + 10k = 9(45 + k)
-120 + 10k = (45 * 9 + k * 9)
-120 + 10k = (405 + 9k)

Solving
-120 + 10k = 405 + 9k

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.
-120 + 10k + -9k = 405 + 9k + -9k

Combine like terms: 10k + -9k = 1k
-120 + 1k = 405 + 9k + -9k

Combine like terms: 9k + -9k = 0
-120 + 1k = 405 + 0
-120 + 1k = 405

Add '120' to each side of the equation.
-120 + 120 + 1k = 405 + 120

Combine like terms: -120 + 120 = 0
0 + 1k = 405 + 120
1k = 405 + 120

Combine like terms: 405 + 120 = 525
1k = 525

Divide each side by '1'.
k = 525

Simplifying
k = 525

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