9(k+5)=10(k-12)

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Solution for 9(k+5)=10(k-12) equation: 


Simplifying
9(k + 5) = 10(k + -12)

Reorder the terms:
9(5 + k) = 10(k + -12)
(5 * 9 + k * 9) = 10(k + -12)
(45 + 9k) = 10(k + -12)

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

Solving
45 + 9k = -120 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
45 + 9k + -10k = -120 + 10k + -10k

Combine like terms: 9k + -10k = -1k
45 + -1k = -120 + 10k + -10k

Combine like terms: 10k + -10k = 0
45 + -1k = -120 + 0
45 + -1k = -120

Add '-45' to each side of the equation.
45 + -45 + -1k = -120 + -45

Combine like terms: 45 + -45 = 0
0 + -1k = -120 + -45
-1k = -120 + -45

Combine like terms: -120 + -45 = -165
-1k = -165

Divide each side by '-1'.
k = 165

Simplifying
k = 165

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