6(k+4)-(1-3k)=8k

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Solution for 6(k+4)-(1-3k)=8k equation:


Simplifying
6(k + 4) + -1(1 + -3k) = 8k

Reorder the terms:
6(4 + k) + -1(1 + -3k) = 8k
(4 * 6 + k * 6) + -1(1 + -3k) = 8k
(24 + 6k) + -1(1 + -3k) = 8k
24 + 6k + (1 * -1 + -3k * -1) = 8k
24 + 6k + (-1 + 3k) = 8k

Reorder the terms:
24 + -1 + 6k + 3k = 8k

Combine like terms: 24 + -1 = 23
23 + 6k + 3k = 8k

Combine like terms: 6k + 3k = 9k
23 + 9k = 8k

Solving
23 + 9k = 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
23 + 9k + -8k = 8k + -8k

Combine like terms: 9k + -8k = 1k
23 + 1k = 8k + -8k

Combine like terms: 8k + -8k = 0
23 + 1k = 0

Add '-23' to each side of the equation.
23 + -23 + 1k = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 1k = 0 + -23
1k = 0 + -23

Combine like terms: 0 + -23 = -23
1k = -23

Divide each side by '1'.
k = -23

Simplifying
k = -23

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