3(k+8)-(9-8k)=10k

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Solution for 3(k+8)-(9-8k)=10k equation: 


Simplifying
3(k + 8) + -1(9 + -8k) = 10k

Reorder the terms:
3(8 + k) + -1(9 + -8k) = 10k
(8 * 3 + k * 3) + -1(9 + -8k) = 10k
(24 + 3k) + -1(9 + -8k) = 10k
24 + 3k + (9 * -1 + -8k * -1) = 10k
24 + 3k + (-9 + 8k) = 10k

Reorder the terms:
24 + -9 + 3k + 8k = 10k

Combine like terms: 24 + -9 = 15
15 + 3k + 8k = 10k

Combine like terms: 3k + 8k = 11k
15 + 11k = 10k

Solving
15 + 11k = 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.
15 + 11k + -10k = 10k + -10k

Combine like terms: 11k + -10k = 1k
15 + 1k = 10k + -10k

Combine like terms: 10k + -10k = 0
15 + 1k = 0

Add '-15' to each side of the equation.
15 + -15 + 1k = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 1k = 0 + -15
1k = 0 + -15

Combine like terms: 0 + -15 = -15
1k = -15

Divide each side by '1'.
k = -15

Simplifying
k = -15

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