2(5-8k)-13=9(1-k)-12

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Solution for 2(5-8k)-13=9(1-k)-12 equation: 


Simplifying
2(5 + -8k) + -13 = 9(1 + -1k) + -12
(5 * 2 + -8k * 2) + -13 = 9(1 + -1k) + -12
(10 + -16k) + -13 = 9(1 + -1k) + -12

Reorder the terms:
10 + -13 + -16k = 9(1 + -1k) + -12

Combine like terms: 10 + -13 = -3
-3 + -16k = 9(1 + -1k) + -12
-3 + -16k = (1 * 9 + -1k * 9) + -12
-3 + -16k = (9 + -9k) + -12

Reorder the terms:
-3 + -16k = 9 + -12 + -9k

Combine like terms: 9 + -12 = -3
-3 + -16k = -3 + -9k

Add '3' to each side of the equation.
-3 + 3 + -16k = -3 + 3 + -9k

Combine like terms: -3 + 3 = 0
0 + -16k = -3 + 3 + -9k
-16k = -3 + 3 + -9k

Combine like terms: -3 + 3 = 0
-16k = 0 + -9k
-16k = -9k

Solving
-16k = -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.
-16k + 9k = -9k + 9k

Combine like terms: -16k + 9k = -7k
-7k = -9k + 9k

Combine like terms: -9k + 9k = 0
-7k = 0

Divide each side by '-7'.
k = 0

Simplifying
k = 0

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