9+2(k-4)=10-5(k-3)

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Solution for 9+2(k-4)=10-5(k-3) equation: 


Simplifying
9 + 2(k + -4) = 10 + -5(k + -3)

Reorder the terms:
9 + 2(-4 + k) = 10 + -5(k + -3)
9 + (-4 * 2 + k * 2) = 10 + -5(k + -3)
9 + (-8 + 2k) = 10 + -5(k + -3)

Combine like terms: 9 + -8 = 1
1 + 2k = 10 + -5(k + -3)

Reorder the terms:
1 + 2k = 10 + -5(-3 + k)
1 + 2k = 10 + (-3 * -5 + k * -5)
1 + 2k = 10 + (15 + -5k)

Combine like terms: 10 + 15 = 25
1 + 2k = 25 + -5k

Solving
1 + 2k = 25 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
1 + 2k + 5k = 25 + -5k + 5k

Combine like terms: 2k + 5k = 7k
1 + 7k = 25 + -5k + 5k

Combine like terms: -5k + 5k = 0
1 + 7k = 25 + 0
1 + 7k = 25

Add '-1' to each side of the equation.
1 + -1 + 7k = 25 + -1

Combine like terms: 1 + -1 = 0
0 + 7k = 25 + -1
7k = 25 + -1

Combine like terms: 25 + -1 = 24
7k = 24

Divide each side by '7'.
k = 3.428571429

Simplifying
k = 3.428571429

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