3(k+4)=8(7-k)

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Solution for 3(k+4)=8(7-k) equation:


Simplifying
3(k + 4) = 8(7 + -1k)

Reorder the terms:
3(4 + k) = 8(7 + -1k)
(4 * 3 + k * 3) = 8(7 + -1k)
(12 + 3k) = 8(7 + -1k)
12 + 3k = (7 * 8 + -1k * 8)
12 + 3k = (56 + -8k)

Solving
12 + 3k = 56 + -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.
12 + 3k + 8k = 56 + -8k + 8k

Combine like terms: 3k + 8k = 11k
12 + 11k = 56 + -8k + 8k

Combine like terms: -8k + 8k = 0
12 + 11k = 56 + 0
12 + 11k = 56

Add '-12' to each side of the equation.
12 + -12 + 11k = 56 + -12

Combine like terms: 12 + -12 = 0
0 + 11k = 56 + -12
11k = 56 + -12

Combine like terms: 56 + -12 = 44
11k = 44

Divide each side by '11'.
k = 4

Simplifying
k = 4

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